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31343688 = 23322291901
BaseRepresentation
bin111011110010…
…0010001001000
32011222102110100
41313210101020
531010444223
63035445400
7530263005
oct167442110
964872410
1031343688
1116768a82
12a5b6860
13665577c
14423c8ac
152b42043
hex1de4448

31343688 has 48 divisors (see below), whose sum is σ = 85304700. Its totient is φ = 10396800.

The previous prime is 31343681. The next prime is 31343701. The reversal of 31343688 is 88634313.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31337604 + 6084 = 5598^2 + 78^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 (31343681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15538 + ... + 17438.

Almost surely, 231343688 is an apocalyptic number.

It is an amenable number.

31343688 is an abundant number, since it is smaller than the sum of its proper divisors (53961012).

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

31343688 is a wasteful number, since it uses less digits than its factorization.

31343688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2135 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 31343688 is about 5598.5433819879. The cubic root of 31343688 is about 315.2947203883.

The spelling of 31343688 in words is "thirty-one million, three hundred forty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 229 458 687 916 1374 1832 1901 2061 2748 3802 4122 5496 5703 7604 8244 11406 15208 16488 17109 22812 34218 45624 68436 136872 435329 870658 1305987 1741316 2611974 3482632 3917961 5223948 7835922 10447896 15671844 31343688