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31307796 = 2234137433
BaseRepresentation
bin111011101101…
…1100000010100
32011220121020000
41313123200110
531003322141
63035011300
7530053242
oct167334024
964817200
1031307796
1116744013
12a599b30
136642330
14422d792
152b365b6
hex1ddb814

31307796 has 60 divisors (see below), whose sum is σ = 88152372. Its totient is φ = 9631872.

The previous prime is 31307767. The next prime is 31307813. The reversal of 31307796 is 69770313.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 28196100 = 1764^2 + 5310^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31307796.

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 19 ways as a sum of consecutive naturals, for example, 496 + ... + 7928.

Almost surely, 231307796 is an apocalyptic number.

31307796 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 31307796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44076186).

31307796 is an abundant number, since it is smaller than the sum of its proper divisors (56844576).

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

31307796 is a wasteful number, since it uses less digits than its factorization.

31307796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 7451 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 31307796 is about 5595.3369871707. The cubic root of 31307796 is about 315.1743252769.

The spelling of 31307796 in words is "thirty-one million, three hundred seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 7433 14866 22299 29732 44598 66897 89196 96629 133794 193258 200691 267588 289887 386516 401382 579774 602073 802764 869661 1159548 1204146 1739322 2408292 2608983 3478644 5217966 7826949 10435932 15653898 31307796