345308160 has 88 divisors (see below), whose sum is σ = 1104495696. Its totient is φ = 92078080.

The previous prime is 345308143. The next prime is 345308207. The reversal of 345308160 is 61803543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4120 + ... + 26600.

Almost surely, 2^345308160 is an apocalyptic number.

345308160 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 345308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552247848).

345308160 is an abundant number, since it is smaller than the sum of its proper divisors (759187536).

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

345308160 is a wasteful number, since it uses less digits than its factorization.

345308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22509 (or 22491 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 345308160 is about 18582.4691577842. The cubic root of 345308160 is about 701.5666679002.

It can be divided in two parts, 345 and 308160, that added together give a triangular number (308505 = T₇₈₅).

The spelling of 345308160 in words is "three hundred forty-five million, three hundred eight thousand, one hundred sixty".