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316364256 = 25321384499
BaseRepresentation
bin10010110110110…
…101010111100000
3211001021222011200
4102312311113200
51121442124011
651220441200
710561023525
oct2266652740
9731258150
10316364256
1115264116a
1289b49200
135070a3b0
143003314c
151cb92856
hex12db55e0

316364256 has 72 divisors (see below), whose sum is σ = 968877000. Its totient is φ = 97341696.

The previous prime is 316364233. The next prime is 316364267. The reversal of 316364256 is 652463613.

316364256 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 642 + 5 + 6 = 666.

316364256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 316364256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38506 + ... + 45993.

It is an arithmetic number, because the mean of its divisors is an integer number (13456625).

Almost surely, 2316364256 is an apocalyptic number.

316364256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

316364256 is an abundant number, since it is smaller than the sum of its proper divisors (652512744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316364256 is a wasteful number, since it uses less digits than its factorization.

316364256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84528 (or 84517 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 316364256 is about 17786.6313842729. The cubic root of 316364256 is about 681.3900745438.

The spelling of 316364256 in words is "three hundred sixteen million, three hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 84499 168998 253497 337996 506994 675992 760491 1013988 1098487 1351984 1520982 2027976 2196974 2703968 3041964 3295461 4055952 4393948 6083928 6590922 8111904 8787896 9886383 12167856 13181844 17575792 19772766 24335712 26363688 35151584 39545532 52727376 79091064 105454752 158182128 316364256