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313342232 = 23717472149
BaseRepresentation
bin10010101011010…
…011100100011000
3210211121102201212
4102223103210120
51120203422412
651032002252
710523236130
oct2253234430
9724542655
10313342232
11150967725
1288b30388
134cbbca08
142d887ac0
151c797222
hex12ad3918

313342232 has 96 divisors (see below), whose sum is σ = 731268000. Its totient is φ = 122870784.

The previous prime is 313342231. The next prime is 313342261. The reversal of 313342232 is 232243313.

It is a junction number, because it is equal to n+sod(n) for n = 313342198 and 313342207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313342231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2102894 + ... + 2103042.

It is an arithmetic number, because the mean of its divisors is an integer number (7617375).

Almost surely, 2313342232 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 313342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365634000).

313342232 is an abundant number, since it is smaller than the sum of its proper divisors (417925768).

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

313342232 is a wasteful number, since it uses less digits than its factorization.

313342232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 222 counting only the distinct ones).

The product of its digits is 2592, while the sum is 23.

The square root of 313342232 is about 17701.4754187328. The cubic root of 313342232 is about 679.2135024413.

Adding to 313342232 its reverse (232243313), we get a palindrome (545585545).

The spelling of 313342232 in words is "three hundred thirteen million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 149 188 238 298 329 376 476 596 658 799 952 1043 1192 1316 1598 2086 2209 2533 2632 3196 4172 4418 5066 5593 6392 7003 8344 8836 10132 11186 14006 15463 17672 17731 20264 22372 28012 30926 35462 37553 44744 49021 56024 61852 70924 75106 98042 119051 123704 141848 150212 196084 238102 262871 300424 329141 392168 476204 525742 658282 833357 952408 1051484 1316564 1666714 2102968 2303987 2633128 3333428 4607974 5595397 6666856 9215948 11190794 18431896 22381588 39167779 44763176 78335558 156671116 313342232