34104200 has 72 divisors (see below), whose sum is σ = 85945950. Its totient is φ = 12579840.

The previous prime is 34104181. The next prime is 34104223. The reversal of 34104200 is 240143.

It can be written as a sum of positive squares in 9 ways, for example, as 1909924 + 32194276 = 1382^2 + 5674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33296 + ... + 34304.

Almost surely, 2^34104200 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 34104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42972975).

34104200 is an abundant number, since it is smaller than the sum of its proper divisors (51841750).

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

34104200 is a wasteful number, since it uses less digits than its factorization.

34104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34104200 is about 5839.8801357562. The cubic root of 34104200 is about 324.2917911937.

Adding to 34104200 its reverse (240143), we get a palindrome (34344343).

The spelling of 34104200 in words is "thirty-four million, one hundred four thousand, two hundred".