34004313 has 16 divisors (see below), whose sum is σ = 57573760. Its totient is φ = 19430928.

The previous prime is 34004297. The next prime is 34004329. The reversal of 34004313 is 31340043.

34004313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34004297) and next prime (34004329).

It is not a de Polignac number, because 34004313 - 2⁴ = 34004297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34004393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89770 + ... + 90147.

It is an arithmetic number, because the mean of its divisors is an integer number (3598360).

Almost surely, 2^34004313 is an apocalyptic number.

It is an amenable number.

34004313 is a deficient number, since it is larger than the sum of its proper divisors (23569447).

34004313 is a wasteful number, since it uses less digits than its factorization.

34004313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179933 (or 179927 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34004313 is about 5831.3217198162. The cubic root of 34004313 is about 323.9748780247.

Adding to 34004313 its reverse (31340043), we get a palindrome (65344356).

The spelling of 34004313 in words is "thirty-four million, four thousand, three hundred thirteen".