34013000 has 128 divisors (see below), whose sum is σ = 93899520. Its totient is φ = 11289600.

The previous prime is 34012997. The next prime is 34013003. The reversal of 34013000 is 31043.

34013000 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 (34012997) and next prime (34013003).

It is not an unprimeable number, because it can be changed into a prime (34013003) 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 31 ways as a sum of consecutive naturals, for example, 300944 + ... + 301056.

It is an arithmetic number, because the mean of its divisors is an integer number (733590).

Almost surely, 2^34013000 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 34013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46949760).

34013000 is an abundant number, since it is smaller than the sum of its proper divisors (59886520).

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

34013000 is a wasteful number, since it uses less digits than its factorization.

34013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 34013000 is about 5832.0665291130. The cubic root of 34013000 is about 324.0024640365.

Adding to 34013000 its reverse (31043), we get a palindrome (34044043).

The spelling of 34013000 in words is "thirty-four million, thirteen thousand".