3564 (number)
3,564 (three thousand five hundred sixtyfour) is an even fourdigits composite number following 3563 and preceding 3565. In scientific notation, it is written as 3.564 × 10^{3}. The sum of its digits is 18. It has a total of 7 prime factors and 30 positive divisors. There are 1,080 positive integers (up to 3564) that are relatively prime to 3564.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 18
 Digital Root 9
Name
Short name  3 thousand 564 

Full name  three thousand five hundred sixtyfour 
Notation
Scientific notation  3.564 × 10^{3} 

Engineering notation  3.564 × 10^{3} 
Prime Factorization of 3564
Prime Factorization 2^{2} × 3^{4} × 11
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  66  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 3,564 is 2^{2} × 3^{4} × 11. Since it has a total of 7 prime factors, 3,564 is a composite number.
Divisors of 3564
30 divisors
τ(n)  Total Divisors  30  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  10164  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  6600  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  338.8  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  59.699246226397  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  10.519480519481  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 3,564 can be divided by 30 positive divisors (out of which 20 are even, and 10 are odd). The sum of these divisors (counting 3,564) is 10,164, the average is 33,8.8.
Other Arithmetic Functions (n = 3564)
φ(n)  Euler Totient  1080  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  270  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 502  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 1,080 positive integers (less than 3,564) that are coprime with 3,564. And there are approximately 502 prime numbers less than or equal to 3,564.
Divisibility of 3564
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  4  0  1  4  0 
The number 3,564 is divisible by 2, 3, 4, 6 and 9.
Classification of 3564
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
 Nonhypotenuse
Base conversion (3564)
Base  System  Value 

2  Binary  110111101100 
3  Ternary  11220000 
4  Quaternary  313230 
5  Quinary  103224 
6  Senary  24300 
8  Octal  6754 
10  Decimal  3564 
12  Duodecimal  2090 
16  Hexadecimal  dec 
20  Vigesimal  8i4 
36  Base36  2r0 
Basic calculations (n = 3564)
Multiplication
n×yn×2  7128 

n×3  10692 
n×4  14256 
n×5  17820 
Division
n÷yn÷2  1782.000 

n÷3  1188.000 
n÷4  891.000 
n÷5  712.800 
Exponentiation
n^{y}n^{2}  12702096 

n^{3}  45270270144 
n^{4}  161343242793216 
n^{5}  575027317315021824 
Nth Root
^{y}√n^{2}√n  59.699246226397 

^{3}√n  15.274930108978 
^{4}√n  7.7265287307042 
^{5}√n  5.1331923583647 
3564 as geometric shapes
Circle
Radius = nDiameter  7128 

Circumference  22393.272434788 
Area  39904811.478792 
Sphere
Radius = nVolume  189627664147.22 

Surface area  159619245.91517 
Circumference  22393.272434788 
Square
Length = nPerimeter  14256 

Area  12702096 
Diagonal  5040.2571362977 
Cube
Length = nSurface area  76212576 

Volume  45270270144 
Space diagonal  6173.0290781755 
Equilateral Triangle
Length = nPerimeter  10692 

Area  5500168.9086544 
Altitude  3086.5145390877 
Triangular Pyramid
Length = nSurface area  22000675.634617 

Volume  5335152500.8282 
Height  2909.9938144264 
Cryptographic Hash Functions
md5  05edf455cb266ccb3ea3ac2715f87326 

sha1  1f8f980df1092caab326d90f1b94810c153a1f5e 
sha256  739dbef65f3b1e4117d7bdb2a76efa5b91943f8f26ab74a7c1cad9feb0324129 
sha512  ee095f6eefe13ad897ac160370bf58cd2d1037fb860832400f3fcd58536be41b6b802783eb6f46f6c6be7d70c74a8a8382b9a91f2616f8a7b3221e683bd0fb0b 
ripemd160  456001fe13dff7357512104724d6466d6baa3cb9 