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31044 = 22313199
BaseRepresentation
bin111100101000100
31120120210
413211010
51443134
6355420
7156336
oct74504
946523
1031044
1121362
1215b70
1311190
14b456
1592e9
hex7944

31044 has 24 divisors (see below), whose sum is σ = 78400. Its totient is φ = 9504.

The previous prime is 31039. The next prime is 31051. The reversal of 31044 is 44013.

Adding to 31044 its reverse (44013), we get a palindrome (75057).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31044.

It is an unprimeable number.

31044 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 255.

231044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39200).

31044 is an abundant number, since it is smaller than the sum of its proper divisors (47356).

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

31044 is a wasteful number, since it uses less digits than its factorization.

31044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31044 is about 176.1930759139. The cubic root of 31044 is about 31.4286619439.

The spelling of 31044 in words is "thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 199 398 597 796 1194 2388 2587 5174 7761 10348 15522 31044