34020264 has 32 divisors (see below), whose sum is σ = 90054720. Its totient is φ = 10672896.

The previous prime is 34020229. The next prime is 34020269. The reversal of 34020264 is 46202043.

It is a super-3 number, since 3×34020264³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34020264.

It is not an unprimeable number, because it can be changed into a prime (34020269) by changing a digit.

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, 41284 + ... + 42099.

It is an arithmetic number, because the mean of its divisors is an integer number (2814210).

Almost surely, 2^34020264 is an apocalyptic number.

34020264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34020264 is an abundant number, since it is smaller than the sum of its proper divisors (56034456).

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

34020264 is a wasteful number, since it uses less digits than its factorization.

34020264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83409 (or 83405 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34020264 is about 5832.6892596812. The cubic root of 34020264 is about 324.0255276335.

The spelling of 34020264 in words is "thirty-four million, twenty thousand, two hundred sixty-four".