34182104 has 64 divisors (see below), whose sum is σ = 75284640. Its totient is φ = 14376960.

The previous prime is 34182103. The next prime is 34182133. The reversal of 34182104 is 40128143.

It is a self number, because there is not a number n which added to its sum of digits gives 34182104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34182103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109052 + ... + 109364.

Almost surely, 2^34182104 is an apocalyptic number.

34182104 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 34182104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37642320).

34182104 is an abundant number, since it is smaller than the sum of its proper divisors (41102536).

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

34182104 is a wasteful number, since it uses less digits than its factorization.

34182104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 34182104 is about 5846.5463309547. The cubic root of 34182104 is about 324.5385292842.

The spelling of 34182104 in words is "thirty-four million, one hundred eighty-two thousand, one hundred four".