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313912704 = 2737294027
BaseRepresentation
bin10010101101011…
…110110110000000
3210212200102021110
4102231132312000
51120330201304
651052123320
710531133250
oct2255366600
9725612243
10313912704
11151217296
1289166540
135005c581
142d995960
151c85b289
hex12b5ed80

313912704 has 128 divisors (see below), whose sum is σ = 986054400. Its totient is φ = 86575104.

The previous prime is 313912691. The next prime is 313912751. The reversal of 313912704 is 407219313.

313912704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 75939 + ... + 79965.

It is an arithmetic number, because the mean of its divisors is an integer number (7703550).

Almost surely, 2313912704 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 313912704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493027200).

313912704 is an abundant number, since it is smaller than the sum of its proper divisors (672141696).

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

313912704 is a wasteful number, since it uses less digits than its factorization.

313912704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 313912704 is about 17717.5817763034. The cubic root of 313912704 is about 679.6254453998.

The spelling of 313912704 in words is "three hundred thirteen million, nine hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4027 4872 5568 6496 8054 9744 11136 12081 12992 16108 19488 24162 25984 28189 32216 38976 48324 56378 64432 77952 84567 96648 112756 116783 128864 169134 193296 225512 233566 257728 338268 350349 386592 451024 467132 515456 676536 700698 773184 817481 902048 934264 1353072 1401396 1546368 1634962 1804096 1868528 2452443 2706144 2802792 3269924 3608192 3737056 4904886 5412288 5605584 6539848 7474112 9809772 10824576 11211168 13079696 14948224 19619544 22422336 26159392 39239088 44844672 52318784 78478176 104637568 156956352 313912704