34294304 has 72 divisors (see below), whose sum is σ = 78729084. Its totient is φ = 14643200.

The previous prime is 34294291. The next prime is 34294307. The reversal of 34294304 is 40349243.

It can be written as a sum of positive squares in 2 ways, for example, as 34245904 + 48400 = 5852^2 + 220^2 .

It is not an unprimeable number, because it can be changed into a prime (34294307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65564 + ... + 66084.

Almost surely, 2^34294304 is an apocalyptic number.

34294304 is a gapful number since it is divisible by the number (34) 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 34294304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39364542).

34294304 is an abundant number, since it is smaller than the sum of its proper divisors (44434780).

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

34294304 is a wasteful number, since it uses less digits than its factorization.

34294304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 34294304 is about 5856.1338782511. The cubic root of 34294304 is about 324.8932319899.

The spelling of 34294304 in words is "thirty-four million, two hundred ninety-four thousand, three hundred four".