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316664320 = 295741431
BaseRepresentation
bin10010110111111…
…110101000000000
3211001212012210011
4102313332220000
51122031224240
651231114304
710563413410
oct2267765000
9731765704
10316664320
11152826655
128a072994
13507b3b4b
14300b0640
151cc016ea
hex12dfea00

316664320 has 160 divisors (see below), whose sum is σ = 890942976. Its totient is φ = 105676800.

The previous prime is 316664303. The next prime is 316664323. The reversal of 316664320 is 23466613.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3166643202 = 200552583122124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (316664323) 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, 734505 + ... + 734935.

Almost surely, 2316664320 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 316664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445471488).

316664320 is an abundant number, since it is smaller than the sum of its proper divisors (574278656).

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

316664320 is an equidigital number, since it uses as much as digits as its factorization.

316664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 316664320 is about 17795.0644842889. The cubic root of 316664320 is about 681.6054339167.

The spelling of 316664320 in words is "three hundred sixteen million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 256 280 287 320 328 410 431 448 512 560 574 640 656 820 862 896 1120 1148 1280 1312 1435 1640 1724 1792 2155 2240 2296 2560 2624 2870 3017 3280 3448 3584 4310 4480 4592 5248 5740 6034 6560 6896 8620 8960 9184 10496 11480 12068 13120 13792 15085 17240 17671 17920 18368 20992 22960 24136 26240 27584 30170 34480 35342 36736 45920 48272 52480 55168 60340 68960 70684 73472 88355 91840 96544 104960 110336 120680 123697 137920 141368 146944 176710 183680 193088 220672 241360 247394 275840 282736 353420 367360 386176 482720 494788 551680 565472 618485 706840 734720 772352 965440 989576 1103360 1130944 1236970 1413680 1544704 1930880 1979152 2261888 2473940 2827360 3861760 3958304 4523776 4947880 5654720 7723520 7916608 9047552 9895760 11309440 15833216 19791520 22618880 31666432 39583040 45237760 63332864 79166080 158332160 316664320