342890240 has 288 divisors, whose sum is σ = 1059609600. Its totient is φ = 105369600.

The previous prime is 342890237. The next prime is 342890243. The reversal of 342890240 is 42098243.

It is an interprime number because it is at equal distance from previous prime (342890237) and next prime (342890243).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 342890197 and 342890206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342890243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4829405 + ... + 4829475.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2^342890240 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 342890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529804800).

342890240 is an abundant number, since it is smaller than the sum of its proper divisors (716719360).

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

342890240 is an equidigital number, since it uses as much as digits as its factorization.

342890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 342890240 is about 18517.2956988865. The cubic root of 342890240 is about 699.9253253675.

The spelling of 342890240 in words is "three hundred forty-two million, eight hundred ninety thousand, two hundred forty".