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313240956 = 223723732221
BaseRepresentation
bin10010101010111…
…010110101111100
3210211102021210220
4102222322311330
51120142202311
651025501340
710522334640
oct2252726574
9724367726
10313240956
111508a8626
1288aa1850
134cb858a2
142d85cc20
151c777206
hex12abad7c

313240956 has 96 divisors (see below), whose sum is σ = 883964928. Its totient is φ = 84395520.

The previous prime is 313240909. The next prime is 313241009. The reversal of 313240956 is 659042313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139926 + ... + 142146.

It is an arithmetic number, because the mean of its divisors is an integer number (9207968).

Almost surely, 2313240956 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 313240956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441982464).

313240956 is an abundant number, since it is smaller than the sum of its proper divisors (570723972).

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

313240956 is a wasteful number, since it uses less digits than its factorization.

313240956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 313240956 is about 17698.6145220466. The cubic root of 313240956 is about 679.1403178824.

The spelling of 313240956 in words is "three hundred thirteen million, two hundred forty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 73 84 92 138 146 161 219 276 292 322 438 483 511 644 876 966 1022 1533 1679 1932 2044 2221 3066 3358 4442 5037 6132 6663 6716 8884 10074 11753 13326 15547 20148 23506 26652 31094 35259 46641 47012 51083 62188 70518 93282 102166 141036 153249 162133 186564 204332 306498 324266 357581 486399 612996 648532 715162 972798 1072743 1134931 1430324 1945596 2145486 2269862 3404793 3729059 4290972 4539724 6809586 7458118 11187177 13619172 14916236 22374354 26103413 44748708 52206826 78310239 104413652 156620478 313240956