30360 (number)
30,360 (thirty thousand three hundred sixty) is an even fivedigits composite number following 30359 and preceding 30361. In scientific notation, it is written as 3.036 × 10^{4}. The sum of its digits is 12. It has a total of 7 prime factors and 64 positive divisors. There are 7,040 positive integers (up to 30360) that are relatively prime to 30360.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 12
 Digital Root 3
Name
Short name  30 thousand 360 

Full name  thirty thousand three hundred sixty 
Notation
Scientific notation  3.036 × 10^{4} 

Engineering notation  30.36 × 10^{3} 
Prime Factorization of 30360
Prime Factorization 2^{3} × 3 × 5 × 11 × 23
Composite numberω(n)  Distinct Factors  5  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  7590  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 30,360 is 2^{3} × 3 × 5 × 11 × 23. Since it has a total of 7 prime factors, 30,360 is a composite number.
Divisors of 30360
64 divisors
τ(n)  Total Divisors  64  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  103680  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  73320  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  1620  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  174.241212117  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  18.740740740741  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 30,360 can be divided by 64 positive divisors (out of which 48 are even, and 16 are odd). The sum of these divisors (counting 30,360) is 103,680, the average is 1,620.
Other Arithmetic Functions (n = 30360)
φ(n)  Euler Totient  7040  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  220  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3284  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 7,040 positive integers (less than 30,360) that are coprime with 30,360. And there are approximately 3,284 prime numbers less than or equal to 30,360.
Divisibility of 30360
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  0  0  1  0  3 
The number 30,360 is divisible by 2, 3, 4, 5, 6 and 8.
Classification of 30360
By Arithmetic functions
 Arithmetic
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (30360)
Base  System  Value 

2  Binary  111011010011000 
3  Ternary  1112122110 
4  Quaternary  13122120 
5  Quinary  1432420 
6  Senary  352320 
8  Octal  73230 
10  Decimal  30360 
12  Duodecimal  156a0 
16  Hexadecimal  7698 
20  Vigesimal  3fi0 
36  Base36  nfc 
Basic calculations (n = 30360)
Multiplication
n×yn×2  60720 

n×3  91080 
n×4  121440 
n×5  151800 
Division
n÷yn÷2  15180.000 

n÷3  10120.000 
n÷4  7590.000 
n÷5  6072.000 
Exponentiation
n^{y}n^{2}  921729600 

n^{3}  27983710656000 
n^{4}  849585455516160000 
n^{5}  25793414429470617600000 
Nth Root
^{y}√n^{2}√n  174.241212117 

^{3}√n  31.196120490673 
^{4}√n  13.200045913443 
^{5}√n  7.8788050289806 
30360 as geometric shapes
Circle
Radius = nDiameter  60720 

Circumference  190757.50592597 
Area  2895698939.9563 
Sphere
Radius = nVolume  1.1721789308943E+14 

Surface area  11582795759.825 
Circumference  190757.50592597 
Square
Length = nPerimeter  121440 

Area  921729600 
Diagonal  42935.523753647 
Cube
Length = nSurface area  5530377600 

Volume  27983710656000 
Space diagonal  52585.062517791 
Equilateral Triangle
Length = nPerimeter  91080 

Area  399120624.51003 
Altitude  26292.531258896 
Triangular Pyramid
Length = nSurface area  1596482498.0401 

Volume  3297911927936.6 
Height  24788.836196966 
Cryptographic Hash Functions
md5  8d9a15b55c2ac9becb69a52624396966 

sha1  388ebd40897e70e8cc1f592fecadada8e53bf710 
sha256  71dbcbcb7d223c86546f8da0fa1e81f60c85ddef38b31c5d01a81eaea34ac457 
sha512  c8915a2a4250947bdee61ff187a1b514305686941125cf85b6c0a1fbfbfbe96c528de6b9050eeeab0bfc0df2f3a9db97323981f5440a1cb35740c84f3dafdfe8 
ripemd160  3a244031ed8c3644b904c8871338c7add6db1d0b 