342355440 has 160 divisors (see below), whose sum is σ = 1254919680. Its totient is φ = 75543552.

The previous prime is 342355393. The next prime is 342355441. The reversal of 342355440 is 44553243.

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 = 342355398 and 342355407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342355441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45207 + ... + 52233.

It is an arithmetic number, because the mean of its divisors is an integer number (7843248).

Almost surely, 2^342355440 is an apocalyptic number.

342355440 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 342355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627459840).

342355440 is an abundant number, since it is smaller than the sum of its proper divisors (912564240).

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

342355440 is a wasteful number, since it uses less digits than its factorization.

342355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 342355440 is about 18502.8495102781. The cubic root of 342355440 is about 699.5612488633.

The spelling of 342355440 in words is "three hundred forty-two million, three hundred fifty-five thousand, four hundred forty".