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316456816 = 241323292281
BaseRepresentation
bin10010110111001…
…011111101110000
3211001110200010211
4102313023331300
51122003104231
651222433504
710561560424
oct2267137560
9731420124
10316456816
111526a4765
1289b92894
1350740570
1430058b84
151cbaeeb1
hex12dcbf70

316456816 has 80 divisors (see below), whose sum is σ = 713079360. Its totient is φ = 134830080.

The previous prime is 316456813. The next prime is 316456843. The reversal of 316456816 is 618654613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316456813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137596 + ... + 139876.

It is an arithmetic number, because the mean of its divisors is an integer number (8913492).

Almost surely, 2316456816 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 316456816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356539680).

316456816 is an abundant number, since it is smaller than the sum of its proper divisors (396622544).

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

316456816 is a wasteful number, since it uses less digits than its factorization.

316456816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2348 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 316456816 is about 17789.2331481714. The cubic root of 316456816 is about 681.4565204357.

The spelling of 316456816 in words is "three hundred sixteen million, four hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 23 26 29 46 52 58 92 104 116 184 208 232 299 368 377 464 598 667 754 1196 1334 1508 2281 2392 2668 3016 4562 4784 5336 6032 8671 9124 10672 17342 18248 29653 34684 36496 52463 59306 66149 69368 104926 118612 132298 138736 209852 237224 264596 419704 474448 529192 682019 839408 859937 1058384 1364038 1521427 1719874 2728076 3042854 3439748 5456152 6085708 6879496 10912304 12171416 13758992 19778551 24342832 39557102 79114204 158228408 316456816