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313285504 = 2773111279
BaseRepresentation
bin10010101011000…
…101101110000000
3210211111112220211
4102223011232000
51120200114004
651030443504
710522611550
oct2253055600
9724445824
10313285504
11150929044
1288b03594
134cb9cc4c
142d871160
151c785504
hex12ac5b80

313285504 has 64 divisors (see below), whose sum is σ = 736358400. Its totient is φ = 129922560.

The previous prime is 313285499. The next prime is 313285523. The reversal of 313285504 is 405582313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22137 + ... + 33415.

It is an arithmetic number, because the mean of its divisors is an integer number (11505600).

Almost surely, 2313285504 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 313285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368179200).

313285504 is an abundant number, since it is smaller than the sum of its proper divisors (423072896).

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

313285504 is a wasteful number, since it uses less digits than its factorization.

313285504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11331 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 313285504 is about 17699.8729938946. The cubic root of 313285504 is about 679.1725113193.

The spelling of 313285504 in words is "three hundred thirteen million, two hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 11279 13888 22558 27776 45116 78953 90232 157906 180464 315812 349649 360928 631624 699298 721856 1263248 1398596 1443712 2447543 2526496 2797192 4895086 5052992 5594384 9790172 10105984 11188768 19580344 22377536 39160688 44755072 78321376 156642752 313285504