34007104 has 28 divisors (see below), whose sum is σ = 68163948. Its totient is φ = 16832000.

The previous prime is 34007063. The next prime is 34007143. The reversal of 34007104 is 40170043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 4326400 = 5448^2 + 2080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3834 + ... + 9094.

Almost surely, 2^34007104 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 34007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34081974).

34007104 is an abundant number, since it is smaller than the sum of its proper divisors (34156844).

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

34007104 is a wasteful number, since it uses less digits than its factorization.

34007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 34007104 is about 5831.5610260032. The cubic root of 34007104 is about 323.9837414999.

Adding to 34007104 its reverse (40170043), we get a palindrome (74177147).

The spelling of 34007104 in words is "thirty-four million, seven thousand, one hundred four".