33242912 has 72 divisors (see below), whose sum is σ = 72067968. Its totient is φ = 15058560.

The previous prime is 33242897. The next prime is 33242933. The reversal of 33242912 is 21924233.

It is a super-2 number, since 2×33242912² = 2210182396479488, which contains 22 as substring.

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, 707273 + ... + 707319.

It is an arithmetic number, because the mean of its divisors is an integer number (1000944).

Almost surely, 2^33242912 is an apocalyptic number.

33242912 is a gapful number since it is divisible by the number (32) 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 33242912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36033984).

33242912 is an abundant number, since it is smaller than the sum of its proper divisors (38825056).

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

33242912 is a wasteful number, since it uses less digits than its factorization.

33242912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 33242912 is about 5765.6666570311. Note that the first 4 decimals coincide. The cubic root of 33242912 is about 321.5385285511.

The spelling of 33242912 in words is "thirty-three million, two hundred forty-two thousand, nine hundred twelve".