34124304 has 160 divisors (see below), whose sum is σ = 102850560. Its totient is φ = 9676800.

The previous prime is 34124281. The next prime is 34124317. The reversal of 34124304 is 40342143.

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 31 ways as a sum of consecutive naturals, for example, 480589 + ... + 480659.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 2^34124304 is an apocalyptic number.

34124304 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 34124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425280).

34124304 is an abundant number, since it is smaller than the sum of its proper divisors (68726256).

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

34124304 is a wasteful number, since it uses less digits than its factorization.

34124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34124304 is about 5841.6011503696. The cubic root of 34124304 is about 324.3555006637.

Adding to 34124304 its reverse (40342143), we get a palindrome (74466447).

The spelling of 34124304 in words is "thirty-four million, one hundred twenty-four thousand, three hundred four".