31344200 has 48 divisors (see below), whose sum is σ = 74275380. Its totient is φ = 12296960.

The previous prime is 31344197. The next prime is 31344221. The reversal of 31344200 is 244313.

It can be written as a sum of positive squares in 6 ways, for example, as 9647236 + 21696964 = 3106^2 + 4658^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9122 + ... + 12078.

Almost surely, 2^31344200 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 31344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37137690).

31344200 is an abundant number, since it is smaller than the sum of its proper divisors (42931180).

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

31344200 is a wasteful number, since it uses less digits than its factorization.

31344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 31344200 is about 5598.5891079807. The cubic root of 31344200 is about 315.2964371616.

Adding to 31344200 its reverse (244313), we get a palindrome (31588513).

The spelling of 31344200 in words is "thirty-one million, three hundred forty-four thousand, two hundred".