34045000 has 80 divisors (see below), whose sum is σ = 87159600. Its totient is φ = 12360000.

The previous prime is 34044973. The next prime is 34045019. The reversal of 34045000 is 54043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54691 + ... + 55309.

It is an arithmetic number, because the mean of its divisors is an integer number (1089495).

Almost surely, 2^34045000 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 34045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43579800).

34045000 is an abundant number, since it is smaller than the sum of its proper divisors (53114600).

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

34045000 is a wasteful number, since it uses less digits than its factorization.

34045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 34045000 is about 5834.8093370735. The cubic root of 34045000 is about 324.1040411694.

Adding to 34045000 its reverse (54043), we get a palindrome (34099043).

The spelling of 34045000 in words is "thirty-four million, forty-five thousand".