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316865664 = 27322311959
BaseRepresentation
bin10010111000101…
…111110010000000
3211002020102222100
4102320233302000
51122104200124
651235310400
710565212413
oct2270576200
9732212870
10316865664
11152953955
128a14b400
135085469b
1430123b7a
151cc411c9
hex12e2fc80

316865664 has 96 divisors (see below), whose sum is σ = 951537600. Its totient is φ = 101021184.

The previous prime is 316865623. The next prime is 316865677. The reversal of 316865664 is 466568613.

316865664 is a `hidden beast` number, since 3 + 1 + 6 + 86 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 20517 + ... + 32475.

It is an arithmetic number, because the mean of its divisors is an integer number (9911850).

Almost surely, 2316865664 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 316865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475768800).

316865664 is an abundant number, since it is smaller than the sum of its proper divisors (634671936).

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

316865664 is a wasteful number, since it uses less digits than its factorization.

316865664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12002 (or 11987 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 316865664 is about 17800.7208842788. The cubic root of 316865664 is about 681.7498645537.

The spelling of 316865664 in words is "three hundred sixteen million, eight hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 11959 13248 23918 26496 35877 47836 71754 95672 107631 143508 191344 215262 275057 287016 382688 430524 550114 574032 765376 825171 861048 1100228 1148064 1530752 1650342 1722096 2200456 2296128 2475513 3300684 3444192 4400912 4592256 4951026 6601368 6888384 8801824 9902052 13202736 13776768 17603648 19804104 26405472 35207296 39608208 52810944 79216416 105621888 158432832 316865664