33240100 has 36 divisors (see below), whose sum is σ = 76377924. Its totient is φ = 12513280.

The previous prime is 33240079. The next prime is 33240113. The reversal of 33240100 is 104233.

It can be written as a sum of positive squares in 6 ways, for example, as 1272384 + 31967716 = 1128^2 + 5654^2 .

It is a super-2 number, since 2×33240100² = 2209808496020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8077 + ... + 11476.

It is an arithmetic number, because the mean of its divisors is an integer number (2121609).

Almost surely, 2^33240100 is an apocalyptic number.

It is an amenable number.

33240100 is an abundant number, since it is smaller than the sum of its proper divisors (43137824).

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

33240100 is a wasteful number, since it uses less digits than its factorization.

33240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 33240100 is about 5765.4227945572. The cubic root of 33240100 is about 321.5294620385.

Adding to 33240100 its reverse (104233), we get a palindrome (33344333).

The spelling of 33240100 in words is "thirty-three million, two hundred forty thousand, one hundred".