34008993 has 24 divisors (see below), whose sum is σ = 54756000. Its totient is φ = 20214144.

The previous prime is 34008979. The next prime is 34009009. The reversal of 34008993 is 39980043.

34008993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34008993 - 2⁴ = 34008977 is a prime.

It is a super-2 number, since 2×34008993² = 2313223209748098, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34008943) 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 23 ways as a sum of consecutive naturals, for example, 2943 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (2281500).

Almost surely, 2^34008993 is an apocalyptic number.

It is an amenable number.

34008993 is a deficient number, since it is larger than the sum of its proper divisors (20747007).

34008993 is a wasteful number, since it uses less digits than its factorization.

34008993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34008993 is about 5831.7229872483. The cubic root of 34008993 is about 323.9897401872.

The spelling of 34008993 in words is "thirty-four million, eight thousand, nine hundred ninety-three".