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316693728 = 253213251337
BaseRepresentation
bin10010111000000…
…101110011100000
3211001220201010100
4102320011303200
51122033144403
651231502400
710563565221
oct2270056340
9731821110
10316693728
1115284675a
128a087a00
13507c4350
14300bb248
151cc0a2a3
hex12e05ce0

316693728 has 144 divisors (see below), whose sum is σ = 976628016. Its totient is φ = 96768000.

The previous prime is 316693711. The next prime is 316693733. The reversal of 316693728 is 827396613.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939576 + ... + 939912.

It is an arithmetic number, because the mean of its divisors is an integer number (6782139).

Almost surely, 2316693728 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 316693728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488314008).

316693728 is an abundant number, since it is smaller than the sum of its proper divisors (659934288).

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

316693728 is a wasteful number, since it uses less digits than its factorization.

316693728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 606 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 316693728 is about 17795.8907616337. The cubic root of 316693728 is about 681.6265330543.

The spelling of 316693728 in words is "three hundred sixteen million, six hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 251 288 312 337 416 468 502 624 674 753 936 1004 1011 1248 1348 1506 1872 2008 2022 2259 2696 3012 3033 3263 3744 4016 4044 4381 4518 5392 6024 6066 6526 8032 8088 8762 9036 9789 10784 12048 12132 13052 13143 16176 17524 18072 19578 24096 24264 26104 26286 29367 32352 35048 36144 39156 39429 48528 52208 52572 58734 70096 72288 78312 78858 84587 97056 104416 105144 117468 140192 156624 157716 169174 210288 234936 253761 313248 315432 338348 420576 469872 507522 630864 676696 761283 939744 1015044 1099631 1261728 1353392 1522566 2030088 2199262 2706784 3045132 3298893 4060176 4398524 6090264 6597786 8120352 8797048 9896679 12180528 13195572 17594096 19793358 24361056 26391144 35188192 39586716 52782288 79173432 105564576 158346864 316693728