34042993 has 16 divisors (see below), whose sum is σ = 37200384. Its totient is φ = 31029760.

The previous prime is 34042969. The next prime is 34043011. The reversal of 34042993 is 39924043.

It is not a de Polignac number, because 34042993 - 2⁵ = 34042961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34042903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109308 + ... + 109618.

It is an arithmetic number, because the mean of its divisors is an integer number (2325024).

Almost surely, 2^34042993 is an apocalyptic number.

It is an amenable number.

34042993 is a deficient number, since it is larger than the sum of its proper divisors (3157391).

34042993 is a wasteful number, since it uses less digits than its factorization.

34042993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512.

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 34042993 is about 5834.6373494845. The cubic root of 34042993 is about 324.0976722499.

The spelling of 34042993 in words is "thirty-four million, forty-two thousand, nine hundred ninety-three".