345292080 has 160 divisors (see below), whose sum is σ = 1249634304. Its totient is φ = 77227008.

The previous prime is 345292069. The next prime is 345292097. The reversal of 345292080 is 80292543.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 76774 + ... + 81146.

Almost surely, 2^345292080 is an apocalyptic number.

345292080 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 345292080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624817152).

345292080 is an abundant number, since it is smaller than the sum of its proper divisors (904342224).

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

345292080 is a wasteful number, since it uses less digits than its factorization.

345292080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 345292080 is about 18582.0364868870. The cubic root of 345292080 is about 701.5557777558. Note that the first 3 decimals are identical.

The spelling of 345292080 in words is "three hundred forty-five million, two hundred ninety-two thousand, eighty".