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313264028 = 227113073313
BaseRepresentation
bin10010101011000…
…000011110011100
3210211110110110102
4102223000132130
51120143422103
651030200232
710522462130
oct2253003634
9724413412
10313264028
111509139a0
1288ab3078
134cb9323c
142d8673c0
151c77de88
hex12ac079c

313264028 has 48 divisors (see below), whose sum is σ = 685918464. Its totient is φ = 121616640.

The previous prime is 313263997. The next prime is 313264033. The reversal of 313264028 is 820462313.

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 15 ways as a sum of consecutive naturals, for example, 92900 + ... + 96212.

It is an arithmetic number, because the mean of its divisors is an integer number (14289968).

Almost surely, 2313264028 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 313264028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342959232).

313264028 is an abundant number, since it is smaller than the sum of its proper divisors (372654436).

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

313264028 is a wasteful number, since it uses less digits than its factorization.

313264028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 313264028 is about 17699.2663124775. The cubic root of 313264028 is about 679.1569916713.

The spelling of 313264028 in words is "three hundred thirteen million, two hundred sixty-four thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 307 308 614 1228 2149 3313 3377 4298 6626 6754 8596 13252 13508 23191 23639 36443 46382 47278 72886 92764 94556 145772 255101 510202 1017091 1020404 2034182 4068364 7119637 11188001 14239274 22376002 28478548 44752004 78316007 156632014 313264028