34053008 has 40 divisors (see below), whose sum is σ = 72423936. Its totient is φ = 15382400.

The previous prime is 34052999. The next prime is 34053031. The reversal of 34053008 is 80035043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33110 + ... + 34122.

Almost surely, 2^34053008 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 34053008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211968).

34053008 is an abundant number, since it is smaller than the sum of its proper divisors (38370928).

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

34053008 is a wasteful number, since it uses less digits than its factorization.

34053008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 34053008 is about 5835.4955230897. The cubic root of 34053008 is about 324.1294508888.

The spelling of 34053008 in words is "thirty-four million, fifty-three thousand, eight".