34309952 has 28 divisors (see below), whose sum is σ = 69928740. Its totient is φ = 16690176.

The previous prime is 34309909. The next prime is 34309973. The reversal of 34309952 is 25990343.

It can be written as a sum of positive squares in 2 ways, for example, as 18181696 + 16128256 = 4264^2 + 4016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4877 + ... + 9612.

It is an arithmetic number, because the mean of its divisors is an integer number (2497455).

Almost surely, 2^34309952 is an apocalyptic number.

34309952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34309952 is an abundant number, since it is smaller than the sum of its proper divisors (35618788).

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

34309952 is a wasteful number, since it uses less digits than its factorization.

34309952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14538 (or 14528 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 34309952 is about 5857.4697609121. The cubic root of 34309952 is about 324.9426391864.

The spelling of 34309952 in words is "thirty-four million, three hundred nine thousand, nine hundred fifty-two".