345116304 has 240 divisors, whose sum is σ = 1133816320. Its totient is φ = 97044480.

The previous prime is 345116297. The next prime is 345116309. The reversal of 345116304 is 403611543.

345116304 is a `hidden beast` number, since 345 + 1 + 16 + 304 = 666.

It is not an unprimeable number, because it can be changed into a prime (345116309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102452 + ... + 1102764.

Almost surely, 2^345116304 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 345116304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566908160).

345116304 is an abundant number, since it is smaller than the sum of its proper divisors (788700016).

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

345116304 is a wasteful number, since it uses less digits than its factorization.

345116304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 345116304 is about 18577.3061556298. The cubic root of 345116304 is about 701.4367117951.

Adding to 345116304 its reverse (403611543), we get a palindrome (748727847).

The spelling of 345116304 in words is "three hundred forty-five million, one hundred sixteen thousand, three hundred four".