343008072 has 96 divisors (see below), whose sum is σ = 1020034080. Its totient is φ = 103265280.

The previous prime is 343008059. The next prime is 343008089. The reversal of 343008072 is 270800343.

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, 127768 + ... + 130424.

It is an arithmetic number, because the mean of its divisors is an integer number (10625355).

Almost surely, 2^343008072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343008072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510017040).

343008072 is an abundant number, since it is smaller than the sum of its proper divisors (677026008).

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

343008072 is a wasteful number, since it uses less digits than its factorization.

343008072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 343008072 is about 18520.4770996862. The cubic root of 343008072 is about 700.0054911134.

The spelling of 343008072 in words is "three hundred forty-three million, eight thousand, seventy-two".