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31391316 = 223211174663
BaseRepresentation
bin111011110111…
…1111001010100
32012001211210100
41313233321110
531014010231
63040454100
7530551605
oct167577124
965054710
1031391316
11167a0840
12a61a330
136671358
144251dac
152b511e6
hex1defe54

31391316 has 72 divisors (see below), whose sum is σ = 91675584. Its totient is φ = 8951040.

The previous prime is 31391303. The next prime is 31391329. The reversal of 31391316 is 61319313.

It is an interprime number because it is at equal distance from previous prime (31391303) and next prime (31391329).

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

It is a self number, because there is not a number n which added to its sum of digits gives 31391316.

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 23 ways as a sum of consecutive naturals, for example, 4401 + ... + 9063.

It is an arithmetic number, because the mean of its divisors is an integer number (1273272).

Almost surely, 231391316 is an apocalyptic number.

31391316 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 31391316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45837792).

31391316 is an abundant number, since it is smaller than the sum of its proper divisors (60284268).

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

31391316 is a wasteful number, since it uses less digits than its factorization.

31391316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4696 counting only the distinct ones).

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

The square root of 31391316 is about 5602.7953737398. The cubic root of 31391316 is about 315.4543405870.

The spelling of 31391316 in words is "thirty-one million, three hundred ninety-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 4663 6732 9326 13989 18652 27978 41967 51293 55956 79271 83934 102586 153879 158542 167868 205172 237813 307758 317084 461637 475626 615516 713439 871981 923274 951252 1426878 1743962 1846548 2615943 2853756 3487924 5231886 7847829 10463772 15695658 31391316