342582240 has 768 divisors, whose sum is σ = 1560674304. Its totient is φ = 60825600.

The previous prime is 342582199. The next prime is 342582257. The reversal of 342582240 is 42285243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 342582198 and 342582207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11051025 + ... + 11051055.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2^342582240 is an apocalyptic number.

342582240 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 342582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780337152).

342582240 is an abundant number, since it is smaller than the sum of its proper divisors (1218092064).

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

342582240 is a wasteful number, since it uses less digits than its factorization.

342582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 342582240 is about 18508.9772813087. The cubic root of 342582240 is about 699.7156940682.

The spelling of 342582240 in words is "three hundred forty-two million, five hundred eighty-two thousand, two hundred forty".