342400320 has 168 divisors, whose sum is σ = 1197635400. Its totient is φ = 89763840.

The previous prime is 342400319. The next prime is 342400343. The reversal of 342400320 is 23004243.

342400320 is a `hidden beast` number, since 342 + 4 + 0 + 0 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 330948864 = 3384^2 + 18192^2 .

It is a super-2 number, since 2×342400320² = 234475958272204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 342400293 and 342400302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174706 + ... + 176654.

Almost surely, 2^342400320 is an apocalyptic number.

342400320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598817700).

342400320 is an abundant number, since it is smaller than the sum of its proper divisors (855235080).

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

342400320 is a wasteful number, since it uses less digits than its factorization.

342400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 342400320 is about 18504.0622567046. The cubic root of 342400320 is about 699.5918164483.

Adding to 342400320 its reverse (23004243), we get a palindrome (365404563).

The spelling of 342400320 in words is "three hundred forty-two million, four hundred thousand, three hundred twenty".