34003104 has 96 divisors (see below), whose sum is σ = 93731904. Its totient is φ = 10782720.

The previous prime is 34003031. The next prime is 34003117. The reversal of 34003104 is 40130043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34003104² = 2312422163269632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208527 + ... + 208689.

It is an arithmetic number, because the mean of its divisors is an integer number (976374).

Almost surely, 2^34003104 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 34003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46865952).

34003104 is an abundant number, since it is smaller than the sum of its proper divisors (59728800).

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

34003104 is a wasteful number, since it uses less digits than its factorization.

34003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34003104 is about 5831.2180545749. The cubic root of 34003104 is about 323.9710384111.

Adding to 34003104 its reverse (40130043), we get a palindrome (74133147).

The spelling of 34003104 in words is "thirty-four million, three thousand, one hundred four".