34199104 has 63 divisors (see below), whose sum is σ = 73806177. Its totient is φ = 15719424.

The previous prime is 34199083. The next prime is 34199119. The reversal of 34199104 is 40199143.

The square root of 34199104 is 5848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26625600 + 7573504 = 5160^2 + 2752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 795307 + ... + 795349.

Almost surely, 2^34199104 is an apocalyptic number.

34199104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34199104 is the 5848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34199104

34199104 is an abundant number, since it is smaller than the sum of its proper divisors (39607073).

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

34199104 is an equidigital number, since it uses as much as digits as its factorization.

34199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The cubic root of 34199104 is about 324.5923219611.

The spelling of 34199104 in words is "thirty-four million, one hundred ninety-nine thousand, one hundred four".