345111312 has 120 divisors (see below), whose sum is σ = 1116970176. Its totient is φ = 91010304.

The previous prime is 345111311. The next prime is 345111317. The reversal of 345111312 is 213111543.

It is a super-2 number, since 2×345111312² = 238203635340722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (345111311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24933 + ... + 36219.

Almost surely, 2^345111312 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 345111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558485088).

345111312 is an abundant number, since it is smaller than the sum of its proper divisors (771858864).

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

345111312 is a wasteful number, since it uses less digits than its factorization.

345111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325 (or 11312 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 345111312 is about 18577.1717976661. The cubic root of 345111312 is about 701.4333297575.

Adding to 345111312 its reverse (213111543), we get a palindrome (558222855).

The spelling of 345111312 in words is "three hundred forty-five million, one hundred eleven thousand, three hundred twelve".