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316909680 = 24352945533
BaseRepresentation
bin10010111000111…
…010100001110000
3211002022200100120
4102320322201300
51122112102210
651240250240
710565454633
oct2270724160
9732280316
10316909680
11152983a2a
128a170980
135086b729
1430135c1a
151cc4e270
hex12e3a870

316909680 has 80 divisors (see below), whose sum is σ = 1016318880. Its totient is φ = 81593344.

The previous prime is 316909657. The next prime is 316909693. The reversal of 316909680 is 86909613.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15807 + ... + 29726.

It is an arithmetic number, because the mean of its divisors is an integer number (12703986).

Almost surely, 2316909680 is an apocalyptic number.

316909680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316909680 is an abundant number, since it is smaller than the sum of its proper divisors (699409200).

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

316909680 is a wasteful number, since it uses less digits than its factorization.

316909680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45578 (or 45572 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 316909680 is about 17801.9571957692. The cubic root of 316909680 is about 681.7814305201.

The spelling of 316909680 in words is "three hundred sixteen million, nine hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 45533 91066 136599 182132 227665 273198 364264 455330 546396 682995 728528 910660 1092792 1320457 1365990 1821320 2185584 2640914 2731980 3642640 3961371 5281828 5463960 6602285 7922742 10563656 10927920 13204570 15845484 19806855 21127312 26409140 31690968 39613710 52818280 63381936 79227420 105636560 158454840 316909680