342131200 has 60 divisors (see below), whose sum is σ = 847688490. Its totient is φ = 136847360.

The previous prime is 342131161. The next prime is 342131203. The reversal of 342131200 is 2131243.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 273174784 + 68956416 = 16528^2 + 8304^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (342131203) by changing a digit.

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, 565 + ... + 26164.

Almost surely, 2^342131200 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 342131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423844245).

342131200 is an abundant number, since it is smaller than the sum of its proper divisors (505557290).

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

342131200 is an equidigital number, since it uses as much as digits as its factorization.

342131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26757 (or 26736 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 342131200 is about 18496.7889105109. The cubic root of 342131200 is about 699.4084798811.

Adding to 342131200 its reverse (2131243), we get a palindrome (344262443).

The spelling of 342131200 in words is "three hundred forty-two million, one hundred thirty-one thousand, two hundred".