342400 has 48 divisors (see below), whose sum is σ = 853740. Its totient is φ = 135680.

The previous prime is 342389. The next prime is 342413. The reversal of 342400 is 4243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3147 + ... + 3253.

2³⁴²⁴⁰⁰ 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 342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426870).

342400 is an abundant number, since it is smaller than the sum of its proper divisors (511340).

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

342400 is a wasteful number, since it uses less digits than its factorization.

342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 342400 is about 585.1495535331. The cubic root of 342400 is about 69.9591598507.

Adding to 342400 its reverse (4243), we get a palindrome (346643).

The spelling of 342400 in words is "three hundred forty-two thousand, four hundred", and thus it is an iban number.