342400113 has 36 divisors (see below), whose sum is σ = 546398580. Its totient is φ = 206458560.

The previous prime is 342400073. The next prime is 342400117. The reversal of 342400113 is 311004243.

It can be written as a sum of positive squares in 2 ways, for example, as 330621489 + 11778624 = 18183^2 + 3432^2 .

It is not a de Polignac number, because 342400113 - 2⁶ = 342400049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (342400117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 248695 + ... + 250067.

Almost surely, 2^342400113 is an apocalyptic number.

342400113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

342400113 is a deficient number, since it is larger than the sum of its proper divisors (203998467).

342400113 is a wasteful number, since it uses less digits than its factorization.

342400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342400113 is about 18504.0566633374. The cubic root of 342400113 is about 699.5916754676.

Adding to 342400113 its reverse (311004243), we get a palindrome (653404356).

The spelling of 342400113 in words is "three hundred forty-two million, four hundred thousand, one hundred thirteen".