34133130 has 64 divisors (see below), whose sum is σ = 91687680. Its totient is φ = 9035712.

The previous prime is 34133111. The next prime is 34133147. The reversal of 34133130 is 3133143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44712 + ... + 45468.

It is an arithmetic number, because the mean of its divisors is an integer number (1432620).

Almost surely, 2^34133130 is an apocalyptic number.

34133130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45843840).

34133130 is an abundant number, since it is smaller than the sum of its proper divisors (57554550).

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

34133130 is a wasteful number, since it uses less digits than its factorization.

34133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 34133130 is about 5842.3565450938. The cubic root of 34133130 is about 324.3834623072.

Adding to 34133130 its reverse (3133143), we get a palindrome (37266273).

The spelling of 34133130 in words is "thirty-four million, one hundred thirty-three thousand, one hundred thirty".