345003312 has 160 divisors (see below), whose sum is σ = 974223360. Its totient is φ = 104924160.

The previous prime is 345003299. The next prime is 345003353. The reversal of 345003312 is 213300543.

345003312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3165114 + ... + 3165222.

It is an arithmetic number, because the mean of its divisors is an integer number (6088896).

Almost surely, 2^345003312 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 345003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487111680).

345003312 is an abundant number, since it is smaller than the sum of its proper divisors (629220048).

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

345003312 is a wasteful number, since it uses less digits than its factorization.

345003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 345003312 is about 18574.2647768357. The cubic root of 345003312 is about 701.3601526881.

Adding to 345003312 its reverse (213300543), we get a palindrome (558303855).

The spelling of 345003312 in words is "three hundred forty-five million, three thousand, three hundred twelve".