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313091712 = 2732463587
BaseRepresentation
bin10010101010010…
…110011010000000
3210211010201002100
4102222112122000
51120122413322
651022350400
710521143553
oct2252263200
9724121070
10313091712
1115080648a
1288a2b400
134cb3298b
142d82069a
151c747dac
hex12a96680

313091712 has 96 divisors (see below), whose sum is σ = 904438080. Its totient is φ = 103961088.

The previous prime is 313091689. The next prime is 313091783. The reversal of 313091712 is 217190313.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533083 + ... + 533669.

It is an arithmetic number, because the mean of its divisors is an integer number (9421230).

Almost surely, 2313091712 is an apocalyptic number.

313091712 is a gapful number since it is divisible by the number (32) 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 313091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452219040).

313091712 is an abundant number, since it is smaller than the sum of its proper divisors (591346368).

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

313091712 is a wasteful number, since it uses less digits than its factorization.

313091712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 313091712 is about 17694.3977574825. The cubic root of 313091712 is about 679.0324416961.

The spelling of 313091712 in words is "three hundred thirteen million, ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 463 576 587 926 1152 1174 1389 1761 1852 2348 2778 3522 3704 4167 4696 5283 5556 7044 7408 8334 9392 10566 11112 14088 14816 16668 18784 21132 22224 28176 29632 33336 37568 42264 44448 56352 59264 66672 75136 84528 88896 112704 133344 169056 177792 225408 266688 271781 338112 533376 543562 676224 815343 1087124 1630686 2174248 2446029 3261372 4348496 4892058 6522744 8696992 9784116 13045488 17393984 19568232 26090976 34787968 39136464 52181952 78272928 104363904 156545856 313091712