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313704944 = 24717376173
BaseRepresentation
bin10010101100101…
…100000111110000
3210212021212021122
4102230230013300
51120302024234
651043441412
710526306450
oct2254540760
9725255248
10313704944
11151095193
1289086268
134ccb8b37
142d93dd60
151c81992e
hex12b2c1f0

313704944 has 160 divisors (see below), whose sum is σ = 778271616. Its totient is φ = 119439360.

The previous prime is 313704917. The next prime is 313705001. The reversal of 313704944 is 449407313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4297292 + ... + 4297364.

Almost surely, 2313704944 is an apocalyptic number.

313704944 is a gapful number since it is divisible by the number (34) 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 313704944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389135808).

313704944 is an abundant number, since it is smaller than the sum of its proper divisors (464566672).

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

313704944 is a wasteful number, since it uses less digits than its factorization.

313704944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 313704944 is about 17711.7177032607. The cubic root of 313704944 is about 679.4754778636.

The spelling of 313704944 in words is "three hundred thirteen million, seven hundred four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 37 56 61 68 73 74 112 119 122 136 146 148 238 244 259 272 292 296 427 476 488 511 518 584 592 629 854 952 976 1022 1036 1037 1168 1241 1258 1708 1904 2044 2072 2074 2257 2482 2516 2701 3416 4088 4144 4148 4403 4453 4514 4964 5032 5402 6832 7259 8176 8296 8687 8806 8906 9028 9928 10064 10804 14518 15799 16592 17374 17612 17812 18056 18907 19856 21608 29036 31171 31598 34748 35224 35624 36112 37814 38369 43216 45917 58072 62342 63196 69496 70448 71248 75628 75701 76738 91834 116144 124684 126392 138992 151256 151402 153476 164761 183668 249368 252784 268583 302512 302804 306952 321419 329522 367336 498736 529907 537166 605608 613904 642838 659044 734672 1059814 1074332 1153327 1211216 1285676 1318088 2119628 2148664 2306654 2571352 2636176 2800937 4239256 4297328 4613308 5142704 5601874 8478512 9226616 11203748 18453232 19606559 22407496 39213118 44814992 78426236 156852472 313704944