34134500 has 48 divisors (see below), whose sum is σ = 75125232. Its totient is φ = 13548800.

The previous prime is 34134493. The next prime is 34134533. The reversal of 34134500 is 543143.

It can be written as a sum of positive squares in 8 ways, for example, as 7529536 + 26604964 = 2744^2 + 5158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 116354 + ... + 116646.

It is an arithmetic number, because the mean of its divisors is an integer number (1565109).

Almost surely, 2^34134500 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 34134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37562616).

34134500 is an abundant number, since it is smaller than the sum of its proper divisors (40990732).

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

34134500 is a wasteful number, since it uses less digits than its factorization.

34134500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34134500 is about 5842.4737911265. The cubic root of 34134500 is about 324.3878021709.

Adding to 34134500 its reverse (543143), we get a palindrome (34677643).

The spelling of 34134500 in words is "thirty-four million, one hundred thirty-four thousand, five hundred".