342505504 has 72 divisors (see below), whose sum is σ = 755618220. Its totient is φ = 152655360.

The previous prime is 342505487. The next prime is 342505507. The reversal of 342505504 is 405505243.

342505504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 336649104 + 5856400 = 18348^2 + 2420^2 .

It is not an unprimeable number, because it can be changed into a prime (342505507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204382 + ... + 206050.

Almost surely, 2^342505504 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 342505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377809110).

342505504 is an abundant number, since it is smaller than the sum of its proper divisors (413112716).

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

342505504 is a wasteful number, since it uses less digits than its factorization.

342505504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 342505504 is about 18506.9042251804. The cubic root of 342505504 is about 699.6634463773.

The spelling of 342505504 in words is "three hundred forty-two million, five hundred five thousand, five hundred four".