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313069568 = 212761179
BaseRepresentation
bin10010101010010…
…001000000000000
3210211002120201012
4102222101000000
51120121211233
651022100052
710521022160
oct2252210000
9724076635
10313069568
111507a0889
1288a1a628
134cb25886
142d8165a0
151c741548
hex12a91000

313069568 has 104 divisors (see below), whose sum is σ = 731292480. Its totient is φ = 131235840.

The previous prime is 313069553. The next prime is 313069573. The reversal of 313069568 is 865960313.

313069568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1748903 + ... + 1749081.

Almost surely, 2313069568 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 313069568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365646240).

313069568 is an abundant number, since it is smaller than the sum of its proper divisors (418222912).

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

313069568 is an equidigital number, since it uses as much as digits as its factorization.

313069568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 313069568 is about 17693.7720116430. The cubic root of 313069568 is about 679.0164327033.

The spelling of 313069568 in words is "three hundred thirteen million, sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 179 224 244 256 358 427 448 488 512 716 854 896 976 1024 1253 1432 1708 1792 1952 2048 2506 2864 3416 3584 3904 4096 5012 5728 6832 7168 7808 10024 10919 11456 13664 14336 15616 20048 21838 22912 27328 28672 31232 40096 43676 45824 54656 62464 76433 80192 87352 91648 109312 124928 152866 160384 174704 183296 218624 249856 305732 320768 349408 366592 437248 611464 641536 698816 733184 874496 1222928 1283072 1397632 1748992 2445856 2566144 2795264 4891712 5132288 5590528 9783424 11181056 19566848 22362112 39133696 44724224 78267392 156534784 313069568