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31344 = 243653

31344 has 20 divisors (see below), whose sum is σ = 81096. Its totient is φ = 10432.

The previous prime is 31337. The next prime is 31357. The reversal of 31344 is 44313.

31344 is nontrivially palindromic in base 15.

31344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31344.

It is an unprimeable number.

31344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279 + ... + 374.

231344 is an apocalyptic number.

It is an amenable number.

31344 is an abundant number, since it is smaller than the sum of its proper divisors (49752).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40548).

31344 is a wasteful number, since it uses less digits than its factorization.

31344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 31344 is about 177.0423678106. The cubic root of 31344 is about 31.5295766549.

Subtracting from 31344 its sum of digits (15), we obtain a square (31329 = 1772).

Adding to 31344 its reverse (44313), we get a palindrome (75657).

The spelling of 31344 in words is "thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 653 1306 1959 2612 3918 5224 7836 10448 15672 31344