34022304 has 72 divisors (see below), whose sum is σ = 102456900. Its totient is φ = 10672128.

The previous prime is 34022243. The next prime is 34022311. The reversal of 34022304 is 40322043.

34022304 is a `hidden beast` number, since 340 + 22 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 4210704 = 5460^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1422 + ... + 8370.

Almost surely, 2^34022304 is an apocalyptic number.

34022304 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 34022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51228450).

34022304 is an abundant number, since it is smaller than the sum of its proper divisors (68434596).

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

34022304 is a wasteful number, since it uses less digits than its factorization.

34022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34022304 is about 5832.8641335111. The cubic root of 34022304 is about 324.0320041545.

Adding to 34022304 its reverse (40322043), we get a palindrome (74344347).

The spelling of 34022304 in words is "thirty-four million, twenty-two thousand, three hundred four".