34034 has 32 divisors (see below), whose sum is σ = 72576. Its totient is φ = 11520.

The previous prime is 34033. The next prime is 34039. The reversal of 34034 is 43043.

34034 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (34031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2³⁴⁰³⁴ is an apocalyptic number.

34034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34034 is an abundant number, since it is smaller than the sum of its proper divisors (38542).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

34034 is a wasteful number, since it uses less digits than its factorization.

34034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50.

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 34034 is about 184.4830615531. The cubic root of 34034 is about 32.4069131212.

Adding to 34034 its reverse (43043), we get a palindrome (77077).

Subtracting 34034 from its reverse (43043), we obtain a palindrome (9009).

The spelling of 34034 in words is "thirty-four thousand, thirty-four", and thus it is an eban number.