342415440 has 120 divisors (see below), whose sum is σ = 1157013000. Its totient is φ = 90749952.

The previous prime is 342415393. The next prime is 342415453. The reversal of 342415440 is 44514243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39237696 + 303177744 = 6264^2 + 17412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 123186 + ... + 125934.

It is an arithmetic number, because the mean of its divisors is an integer number (9641775).

Almost surely, 2^342415440 is an apocalyptic number.

342415440 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 342415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578506500).

342415440 is an abundant number, since it is smaller than the sum of its proper divisors (814597560).

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

342415440 is a wasteful number, since it uses less digits than its factorization.

342415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 342415440 is about 18504.4708111310. The cubic root of 342415440 is about 699.6021140171.

Adding to 342415440 its reverse (44514243), we get a palindrome (386929683).

The spelling of 342415440 in words is "three hundred forty-two million, four hundred fifteen thousand, four hundred forty".