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31311396 = 223243113179
BaseRepresentation
bin111011101110…
…0011000100100
32011220210011100
41313130120210
531003431041
63035040100
7530066604
oct167343044
964823140
1031311396
1116746796
12a5a0030
136643b6c
144230c04
152b376b6
hex1ddc624

31311396 has 72 divisors (see below), whose sum is σ = 82162080. Its totient is φ = 10047744.

The previous prime is 31311391. The next prime is 31311407. The reversal of 31311396 is 69311313.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31311391) 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, 174835 + ... + 175013.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 231311396 is an apocalyptic number.

31311396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081040).

31311396 is an abundant number, since it is smaller than the sum of its proper divisors (50850684).

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

31311396 is a wasteful number, since it uses less digits than its factorization.

31311396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 31311396 is about 5595.6586743653. The cubic root of 31311396 is about 315.1864051658.

The spelling of 31311396 in words is "thirty-one million, three hundred eleven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 113 129 172 179 226 258 339 358 387 452 516 537 678 716 774 1017 1074 1356 1548 1611 2034 2148 3222 4068 4859 6444 7697 9718 14577 15394 19436 20227 23091 29154 30788 40454 43731 46182 58308 60681 69273 80908 87462 92364 121362 138546 174924 182043 242724 277092 364086 728172 869761 1739522 2609283 3479044 5218566 7827849 10437132 15655698 31311396