345513312 has 36 divisors (see below), whose sum is σ = 982554300. Its totient is φ = 115171008.

The previous prime is 345513283. The next prime is 345513319. The reversal of 345513312 is 213315543.

345513312 is a `hidden beast` number, since 345 + 5 + 1 + 3 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345513319) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 599562 + ... + 600137.

It is an arithmetic number, because the mean of its divisors is an integer number (27293175).

Almost surely, 2^345513312 is an apocalyptic number.

345513312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345513312 is an abundant number, since it is smaller than the sum of its proper divisors (637040988).

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

345513312 is a wasteful number, since it uses less digits than its factorization.

345513312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199715 (or 1199704 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 345513312 is about 18587.9883795961. The cubic root of 345513312 is about 701.7055769752.

Adding to 345513312 its reverse (213315543), we get a palindrome (558828855).

The spelling of 345513312 in words is "three hundred forty-five million, five hundred thirteen thousand, three hundred twelve".