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316694016 = 293331739
BaseRepresentation
bin10010111000000…
…101111000000000
3211001220201112000
4102320011320000
51122033202031
651231504000
710563566112
oct2270057000
9731821460
10316694016
111528469a1
128a088000
13507c4512
14300bb3b2
151cc0a3e6
hex12e05e00

316694016 has 160 divisors (see below), whose sum is σ = 968985600. Its totient is φ = 102021120.

The previous prime is 316693981. The next prime is 316694023. The reversal of 316694016 is 610496613.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428175 + ... + 428913.

It is an arithmetic number, because the mean of its divisors is an integer number (6056160).

Almost surely, 2316694016 is an apocalyptic number.

316694016 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 316694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484492800).

316694016 is an abundant number, since it is smaller than the sum of its proper divisors (652291584).

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

316694016 is an equidigital number, since it uses as much as digits as its factorization.

316694016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 316694016 is about 17795.8988533875. The cubic root of 316694016 is about 681.6267396770.

The spelling of 316694016 in words is "three hundred sixteen million, six hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 739 744 768 837 864 992 1116 1152 1478 1488 1536 1674 1728 1984 2217 2232 2304 2956 2976 3348 3456 3968 4434 4464 4608 5912 5952 6651 6696 6912 7936 8868 8928 11824 11904 13302 13392 13824 15872 17736 17856 19953 22909 23648 23808 26604 26784 35472 35712 39906 45818 47296 47616 53208 53568 68727 70944 71424 79812 91636 94592 106416 107136 137454 141888 142848 159624 183272 189184 206181 212832 214272 274908 283776 319248 366544 378368 412362 425664 428544 549816 567552 618543 638496 733088 824724 851328 1099632 1135104 1237086 1276992 1466176 1649448 1702656 2199264 2474172 2553984 2932352 3298896 3405312 4398528 4948344 5107968 5864704 6597792 8797056 9896688 10215936 11729408 13195584 17594112 19793376 26391168 35188224 39586752 52782336 79173504 105564672 158347008 316694016