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313073856 = 26331031759
BaseRepresentation
bin10010101010010…
…010000011000000
3210211002210121000
4102222102003000
51120121330411
651022132000
710521040524
oct2252220300
9724083530
10313073856
111507a4027
1288a21000
134cb27804
142d817d84
151c742956
hex12a920c0

313073856 has 112 divisors (see below), whose sum is σ = 929843200. Its totient is φ = 103286016.

The previous prime is 313073851. The next prime is 313073863. The reversal of 313073856 is 658370313.

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 313073856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313073851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177105 + ... + 178863.

Almost surely, 2313073856 is an apocalyptic number.

313073856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464921600).

313073856 is an abundant number, since it is smaller than the sum of its proper divisors (616769344).

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

313073856 is a wasteful number, since it uses less digits than its factorization.

313073856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 313073856 is about 17693.8931838078. The cubic root of 313073856 is about 679.0195327695.

The spelling of 313073856 in words is "three hundred thirteen million, seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 144 192 206 216 288 309 412 432 576 618 824 864 927 1236 1648 1728 1759 1854 2472 2781 3296 3518 3708 4944 5277 5562 6592 7036 7416 9888 10554 11124 14072 14832 15831 19776 21108 22248 28144 29664 31662 42216 44496 47493 56288 59328 63324 84432 88992 94986 112576 126648 168864 177984 181177 189972 253296 337728 362354 379944 506592 543531 724708 759888 1013184 1087062 1449416 1519776 1630593 2174124 2898832 3039552 3261186 4348248 4891779 5797664 6522372 8696496 9783558 11595328 13044744 17392992 19567116 26089488 34785984 39134232 52178976 78268464 104357952 156536928 313073856