342430560 has 144 divisors (see below), whose sum is σ = 1200313296. Its totient is φ = 88833024.

The previous prime is 342430553. The next prime is 342430577. The reversal of 342430560 is 65034243.

342430560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 50067 + ... + 56493.

It is an arithmetic number, because the mean of its divisors is an integer number (8335509).

Almost surely, 2^342430560 is an apocalyptic number.

342430560 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 342430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600156648).

342430560 is an abundant number, since it is smaller than the sum of its proper divisors (857882736).

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

342430560 is a wasteful number, since it uses less digits than its factorization.

342430560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 342430560 is about 18504.8793565373. The cubic root of 342430560 is about 699.6124112828.

The spelling of 342430560 in words is "three hundred forty-two million, four hundred thirty thousand, five hundred sixty".