342800 has 30 divisors (see below), whose sum is σ = 824538. Its totient is φ = 136960.

The previous prime is 342799. The next prime is 342803. The reversal of 342800 is 8243.

It can be written as a sum of positive squares in 3 ways, for example, as 80656 + 262144 = 284^2 + 512^2 .

It is not an unprimeable number, because it can be changed into a prime (342803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29 + ... + 828.

2³⁴²⁸⁰⁰ 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 342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412269).

342800 is an abundant number, since it is smaller than the sum of its proper divisors (481738).

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

342800 is a wasteful number, since it uses less digits than its factorization.

342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 342800 is about 585.4912467322. The cubic root of 342800 is about 69.9863919126.

The spelling of 342800 in words is "three hundred forty-two thousand, eight hundred".