33240400 has 30 divisors (see below), whose sum is σ = 79861022. Its totient is φ = 13296000.

The previous prime is 33240391. The next prime is 33240433. The reversal of 33240400 is 404233.

It can be written as a sum of positive squares in 3 ways, for example, as 2637376 + 30603024 = 1624^2 + 5532^2 .

It is a super-2 number, since 2×33240400² = 2209848384320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41151 + ... + 41950.

Almost surely, 2^33240400 is an apocalyptic number.

It is an amenable number.

33240400 is an abundant number, since it is smaller than the sum of its proper divisors (46620622).

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

33240400 is a wasteful number, since it uses less digits than its factorization.

33240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83119 (or 83108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 33240400 is about 5765.4488116711. The cubic root of 33240400 is about 321.5304293295.

Adding to 33240400 its reverse (404233), we get a palindrome (33644633).

The spelling of 33240400 in words is "thirty-three million, two hundred forty thousand, four hundred".