34130304 has 192 divisors, whose sum is σ = 110270160. Its totient is φ = 10063872.

The previous prime is 34130297. The next prime is 34130311. The reversal of 34130304 is 40303143.

It is an interprime number because it is at equal distance from previous prime (34130297) and next prime (34130311).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×34130304² = 2329755302264832, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643942 + ... + 643994.

Almost surely, 2^34130304 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 34130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55135080).

34130304 is an abundant number, since it is smaller than the sum of its proper divisors (76139856).

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

34130304 is a wasteful number, since it uses less digits than its factorization.

34130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34130304 is about 5842.1146856254. The cubic root of 34130304 is about 324.3745097835.

Adding to 34130304 its reverse (40303143), we get a palindrome (74433447).

The spelling of 34130304 in words is "thirty-four million, one hundred thirty thousand, three hundred four".