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313153434 = 232114336781
BaseRepresentation
bin10010101010100…
…101011110011010
3210211020211202100
4102222211132122
51120131402214
651023544230
710521521526
oct2252453632
9724224670
10313153434
111508488a0
1288a5b076
134cb54ab9
142d838d86
151c75b309
hex12aa579a

313153434 has 48 divisors (see below), whose sum is σ = 757414944. Its totient is φ = 92685600.

The previous prime is 313153427. The next prime is 313153453. The reversal of 313153434 is 434351313.

313153434 is a `hidden beast` number, since 3 + 1 + 315 + 343 + 4 = 666.

313153434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 313153398 and 313153407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9877 + ... + 26904.

It is an arithmetic number, because the mean of its divisors is an integer number (15779478).

Almost surely, 2313153434 is an apocalyptic number.

313153434 is an abundant number, since it is smaller than the sum of its proper divisors (444261510).

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

313153434 is a wasteful number, since it uses less digits than its factorization.

313153434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36843 (or 36840 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 313153434 is about 17696.1417828859. The cubic root of 313153434 is about 679.0770595988.

It can be divided in two parts, 3131 and 53434, that added together give a palindrome (56565).

The spelling of 313153434 in words is "three hundred thirteen million, one hundred fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 36781 73562 110343 220686 331029 404591 662058 809182 1213773 1581583 2427546 3163166 3641319 4744749 7282638 9489498 14234247 17397413 28468494 34794826 52192239 104384478 156576717 313153434