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313040976 = 24331792663
BaseRepresentation
bin10010101010001…
…010000001010000
3210211001010111020
4102222022001100
51120114302401
651021315440
710520542623
oct2252120120
9724033436
10313040976
11150781356
1288a05b80
134cb15861
142d809dba
151c737d36
hex12a8a050

313040976 has 80 divisors (see below), whose sum is σ = 845660160. Its totient is φ = 99665280.

The previous prime is 313040963. The next prime is 313040977. The reversal of 313040976 is 679040313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313040977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116221 + ... + 118883.

It is an arithmetic number, because the mean of its divisors is an integer number (10570752).

Almost surely, 2313040976 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 313040976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422830080).

313040976 is an abundant number, since it is smaller than the sum of its proper divisors (532619184).

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

313040976 is a wasteful number, since it uses less digits than its factorization.

313040976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 313040976 is about 17692.9640252842. The cubic root of 313040976 is about 678.9957610158.

The spelling of 313040976 in words is "three hundred thirteen million, forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 237 248 316 372 474 496 632 744 948 1264 1488 1896 2449 2663 3792 4898 5326 7347 7989 9796 10652 14694 15978 19592 21304 29388 31956 39184 42608 58776 63912 82553 117552 127824 165106 210377 247659 330212 420754 495318 631131 660424 841508 990636 1262262 1320848 1683016 1981272 2524524 3366032 3962544 5049048 6521687 10098096 13043374 19565061 26086748 39130122 52173496 78260244 104346992 156520488 313040976