345312 has 72 divisors (see below), whose sum is σ = 1081080. Its totient is φ = 103680.

The previous prime is 345311. The next prime is 345329. The reversal of 345312 is 213543.

345312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3114 + ... + 3222.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2³⁴⁵³¹² is an apocalyptic number.

345312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540540).

345312 is an abundant number, since it is smaller than the sum of its proper divisors (735768).

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

345312 is a wasteful number, since it uses less digits than its factorization.

345312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 345312 is about 587.6325382414. The cubic root of 345312 is about 70.1569268482.

Adding to 345312 its reverse (213543), we get a palindrome (558855).

Subtracting from 345312 its reverse (213543), we obtain a square (131769 = 363²).

The spelling of 345312 in words is "three hundred forty-five thousand, three hundred twelve".