31340400 has 360 divisors, whose sum is σ = 128835504. Its totient is φ = 6451200.

The previous prime is 31340381. The next prime is 31340417. The reversal of 31340400 is 404313.

31340400 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31340400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764380 + ... + 764420.

Almost surely, 2^31340400 is an apocalyptic number.

31340400 is a gapful number since it is divisible by the number (30) 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 31340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417752).

31340400 is an abundant number, since it is smaller than the sum of its proper divisors (97495104).

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

31340400 is a wasteful number, since it uses less digits than its factorization.

31340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

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

The square root of 31340400 is about 5598.2497264770. The cubic root of 31340400 is about 315.2836950394.

Adding to 31340400 its reverse (404313), we get a palindrome (31744713).

The spelling of 31340400 in words is "thirty-one million, three hundred forty thousand, four hundred".