342713952 has 144 divisors (see below), whose sum is σ = 1122750720. Its totient is φ = 97134336.

The previous prime is 342713941. The next prime is 342713977. The reversal of 342713952 is 259317243.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 279613 + ... + 280835.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2^342713952 is an apocalyptic number.

342713952 is a gapful number since it is divisible by the number (32) 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 342713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

342713952 is an abundant number, since it is smaller than the sum of its proper divisors (780036768).

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

342713952 is a wasteful number, since it uses less digits than its factorization.

342713952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 342713952 is about 18512.5349965908. The cubic root of 342713952 is about 699.8053554052.

The spelling of 342713952 in words is "three hundred forty-two million, seven hundred thirteen thousand, nine hundred fifty-two".