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318669056 = 284197313
BaseRepresentation
bin10010111111101…
…000000100000000
3211012122001202122
4102333220010000
51123034402211
651342103412
710616433206
oct2277500400
9735561678
10318669056
11153975862
128a87ab68
1351036494
1430473076
151ce9a6db
hex12fe8100

318669056 has 72 divisors (see below), whose sum is σ = 660428664. Its totient is φ = 153354240.

The previous prime is 318669053. The next prime is 318669073. The reversal of 318669056 is 650966813.

It can be written as a sum of positive squares in 4 ways, for example, as 22278400 + 296390656 = 4720^2 + 17216^2 .

It is a super-2 number, since 2×3186690562 = 203099934503862272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 318668998 and 318669016.

It is not an unprimeable number, because it can be changed into a prime (318669053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017956 + ... + 1018268.

Almost surely, 2318669056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330214332).

318669056 is an abundant number, since it is smaller than the sum of its proper divisors (341759608).

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

318669056 is an equidigital number, since it uses as much as digits as its factorization.

318669056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 318669056 is about 17851.3040420021. The cubic root of 318669056 is about 683.0407766621.

The spelling of 318669056 in words is "three hundred eighteen million, six hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 97 128 164 194 256 313 328 388 626 656 776 1252 1312 1552 2504 2624 3104 3977 5008 5248 6208 7954 10016 10496 12416 12833 15908 20032 24832 25666 30361 31816 40064 51332 60722 63632 80128 102664 121444 127264 205328 242888 254528 410656 485776 509056 821312 971552 1018112 1244801 1642624 1943104 2489602 3285248 3886208 4979204 7772416 9958408 19916816 39833632 79667264 159334528 318669056