342714240 has 320 divisors, whose sum is σ = 1337379120. Its totient is φ = 82944000.

The previous prime is 342714193. The next prime is 342714277. The reversal of 342714240 is 42417243.

It is a tau number, because it is divible by the number of its divisors (320).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 569940 + ... + 570540.

Almost surely, 2^342714240 is an apocalyptic number.

342714240 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 342714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668689560).

342714240 is an abundant number, since it is smaller than the sum of its proper divisors (994664880).

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

342714240 is a wasteful number, since it uses less digits than its factorization.

342714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 342714240 is about 18512.5427751025. The cubic root of 342714240 is about 699.8055514325.

The spelling of 342714240 in words is "three hundred forty-two million, seven hundred fourteen thousand, two hundred forty".