34030000 has 100 divisors (see below), whose sum is σ = 85416408. Its totient is φ = 13120000.

The previous prime is 34029997. The next prime is 34030043. The reversal of 34030000 is 3043.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409959 + ... + 410041.

Almost surely, 2^34030000 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 34030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42708204).

34030000 is an abundant number, since it is smaller than the sum of its proper divisors (51386408).

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

34030000 is an equidigital number, since it uses as much as digits as its factorization.

34030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 34030000 is about 5833.5238064141. The cubic root of 34030000 is about 324.0564348172.

Adding to 34030000 its reverse (3043), we get a palindrome (34033043).

The spelling of 34030000 in words is "thirty-four million, thirty thousand", and thus it is an eban number.