34180240 has 80 divisors (see below), whose sum is σ = 84816000. Its totient is φ = 12773376.

The previous prime is 34180213. The next prime is 34180243. The reversal of 34180240 is 4208143.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (34180243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171661 + ... + 171859.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 2^34180240 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 34180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408000).

34180240 is an abundant number, since it is smaller than the sum of its proper divisors (50635760).

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

34180240 is a wasteful number, since it uses less digits than its factorization.

34180240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 34180240 is about 5846.3869184309. The cubic root of 34180240 is about 324.5326299905.

Adding to 34180240 its reverse (4208143), we get a palindrome (38388383).

The spelling of 34180240 in words is "thirty-four million, one hundred eighty thousand, two hundred forty".