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313117308 = 223272389607
BaseRepresentation
bin10010101010011…
…100101001111100
3210211012000012100
4102222130221330
51120124223213
651023105100
710521311310
oct2252345174
9724160170
10313117308
11150823739
1288a42190
134cb4151a
142d829b40
151c750773
hex12a9ca7c

313117308 has 144 divisors (see below), whose sum is σ = 956067840. Its totient is φ = 84471552.

The previous prime is 313117297. The next prime is 313117319. The reversal of 313117308 is 803711313.

It is an interprime number because it is at equal distance from previous prime (313117297) and next prime (313117319).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515541 + ... + 516147.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2313117308 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 313117308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

313117308 is an abundant number, since it is smaller than the sum of its proper divisors (642950532).

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

313117308 is a wasteful number, since it uses less digits than its factorization.

313117308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 313117308 is about 17695.1210224740. The cubic root of 313117308 is about 679.0509453700.

The spelling of 313117308 in words is "three hundred thirteen million, one hundred seventeen thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 89 92 126 138 161 178 207 252 267 276 322 356 414 483 534 607 623 644 801 828 966 1068 1214 1246 1449 1602 1821 1869 1932 2047 2428 2492 2898 3204 3642 3738 4094 4249 5463 5607 5796 6141 7284 7476 8188 8498 10926 11214 12282 12747 13961 14329 16996 18423 21852 22428 24564 25494 27922 28658 36846 38241 41883 42987 50988 54023 55844 57316 73692 76482 83766 85974 97727 108046 125649 128961 152964 162069 167532 171948 195454 216092 251298 257922 293181 324138 378161 390908 486207 502596 515844 586362 648276 756322 879543 972414 1134483 1172724 1242529 1512644 1759086 1944828 2268966 2485058 3403449 3518172 3727587 4537932 4970116 6806898 7455174 8697703 11182761 13613796 14910348 17395406 22365522 26093109 34790812 44731044 52186218 78279327 104372436 156558654 313117308