342303840 has 384 divisors, whose sum is σ = 1306368000. Its totient is φ = 83386368.

The previous prime is 342303821. The next prime is 342303853. The reversal of 342303840 is 48303243.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 4332921 + ... + 4332999.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^342303840 is an apocalyptic number.

342303840 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 342303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

342303840 is an abundant number, since it is smaller than the sum of its proper divisors (964064160).

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

342303840 is a wasteful number, since it uses less digits than its factorization.

342303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 342303840 is about 18501.4550779121. The cubic root of 342303840 is about 699.5261010122.

The spelling of 342303840 in words is "three hundred forty-two million, three hundred three thousand, eight hundred forty".