33408 (number)
33,408 (thirtythree thousand four hundred eight) is an even fivedigits composite number following 33407 and preceding 33409. In scientific notation, it is written as 3.3408 × 10^{4}. The sum of its digits is 18. It has a total of 10 prime factors and 48 positive divisors. There are 10,752 positive integers (up to 33408) that are relatively prime to 33408.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 18
 Digital Root 9
Name
Short name  33 thousand 408 

Full name  thirtythree thousand four hundred eight 
Notation
Scientific notation  3.3408 × 10^{4} 

Engineering notation  33.408 × 10^{3} 
Prime Factorization of 33408
Prime Factorization 2^{7} × 3^{2} × 29
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  10  Total number of prime factors 
rad(n)  Radical  174  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 33,408 is 2^{7} × 3^{2} × 29. Since it has a total of 10 prime factors, 33,408 is a composite number.
Divisors of 33408
48 divisors
τ(n)  Total Divisors  48  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  99450  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  66042  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  2071.875  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  182.77855454073  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  16.124524886878  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 33,408 can be divided by 48 positive divisors (out of which 42 are even, and 6 are odd). The sum of these divisors (counting 33,408) is 99,450, the average is 20,71.,875.
Other Arithmetic Functions (n = 33408)
φ(n)  Euler Totient  10752  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  1344  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3576  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 10,752 positive integers (less than 33,408) that are coprime with 33,408. And there are approximately 3,576 prime numbers less than or equal to 33,408.
Divisibility of 33408
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  3  0  4  0  0 
The number 33,408 is divisible by 2, 3, 4, 6, 8 and 9.
Classification of 33408
By Arithmetic functions
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Practical
Other numbers
 Frugal
Base conversion (33408)
Base  System  Value 

2  Binary  1000001010000000 
3  Ternary  1200211100 
4  Quaternary  20022000 
5  Quinary  2032113 
6  Senary  414400 
8  Octal  101200 
10  Decimal  33408 
12  Duodecimal  17400 
16  Hexadecimal  8280 
20  Vigesimal  43a8 
36  Base36  ps0 
Basic calculations (n = 33408)
Multiplication
n×yn×2  66816 

n×3  100224 
n×4  133632 
n×5  167040 
Division
n÷yn÷2  16704.000 

n÷3  11136.000 
n÷4  8352.000 
n÷5  6681.600 
Exponentiation
n^{y}n^{2}  1116094464 

n^{3}  37286483853312 
n^{4}  1245666852571447296 
n^{5}  41615238210706911264768 
Nth Root
^{y}√n^{2}√n  182.77855454073 

^{3}√n  32.206991524798 
^{4}√n  13.519561921184 
^{5}√n  8.0310086818541 
33408 as geometric shapes
Circle
Radius = nDiameter  66816 

Circumference  209908.65474226 
Area  3506314168.8146 
Sphere
Radius = nVolume  1.5618525833568E+14 

Surface area  14025256675.259 
Circumference  209908.65474226 
Square
Length = nPerimeter  133632 

Area  1116094464 
Diagonal  47246.04669176 
Cube
Length = nSurface area  6696566784 

Volume  37286483853312 
Space diagonal  57864.353379261 
Equilateral Triangle
Length = nPerimeter  100224 

Area  483283079.42359 
Altitude  28932.176689631 
Triangular Pyramid
Length = nSurface area  1933132317.6944 

Volume  4394254263213.3 
Height  27277.517775633 
Cryptographic Hash Functions
md5  8985de41b73040302bb4b2bcd20c6989 

sha1  0f92cdd72220fa3fb39e76aad5022f0d1c2c3c4f 
sha256  d8cfe3e7aa6b1fde2709fdbcc293efaa42c590b8d6bc13a23d66ce2dac815adf 
sha512  9fff2ecc510977d972e3749689abac571bf64eddb0d4be89c8ba9d58a926a8357db1f7508beb09569ff4c9ecdc5da8f59b0d00a2050097d25da70ee58827941c 
ripemd160  e15e84df69ce405f182d922986800f8d053d3c16 