34306992 has 120 divisors (see below), whose sum is σ = 101439936. Its totient is φ = 10810368.

The previous prime is 34306967. The next prime is 34306997. The reversal of 34306992 is 29960343.

It is a happy number.

34306992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34306997) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 250348 + ... + 250484.

Almost surely, 2^34306992 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 34306992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50719968).

34306992 is an abundant number, since it is smaller than the sum of its proper divisors (67132944).

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

34306992 is a wasteful number, since it uses less digits than its factorization.

34306992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 34306992 is about 5857.2170866376. The cubic root of 34306992 is about 324.9332943965.

The spelling of 34306992 in words is "thirty-four million, three hundred six thousand, nine hundred ninety-two".