343086080 has 88 divisors (see below), whose sum is σ = 831687912. Its totient is φ = 135790592.

The previous prime is 343086077. The next prime is 343086131. The reversal of 343086080 is 80680343.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 342102016 = 992^2 + 18496^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578264 + ... + 578856.

It is an arithmetic number, because the mean of its divisors is an integer number (9450999).

Almost surely, 2^343086080 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 343086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415843956).

343086080 is an abundant number, since it is smaller than the sum of its proper divisors (488601832).

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

343086080 is a wasteful number, since it uses less digits than its factorization.

343086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 343086080 is about 18522.5829732249. The cubic root of 343086080 is about 700.0585529252.

The spelling of 343086080 in words is "three hundred forty-three million, eighty-six thousand, eighty".