345114320 has 90 divisors (see below), whose sum is σ = 841668786. Its totient is φ = 131598720.

The previous prime is 345114311. The next prime is 345114337. The reversal of 345114320 is 23411543.

It can be written as a sum of positive squares in only one way, i.e., 276091456 + 69022864 = 16616^2 + 8308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5150927 + ... + 5150993.

Almost surely, 2^345114320 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 345114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420834393).

345114320 is an abundant number, since it is smaller than the sum of its proper divisors (496554466).

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

345114320 is an equidigital number, since it uses as much as digits as its factorization.

345114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 345114320 is about 18577.2527570683. The cubic root of 345114320 is about 701.4353676558.

Adding to 345114320 its reverse (23411543), we get a palindrome (368525863).

It can be divided in two parts, 3451 and 14320, that added together give a palindrome (17771).

The spelling of 345114320 in words is "three hundred forty-five million, one hundred fourteen thousand, three hundred twenty".