345306 has 32 divisors (see below), whose sum is σ = 786240. Its totient is φ = 100224.

The previous prime is 345271. The next prime is 345307. The reversal of 345306 is 603543.

345306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (345307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2³⁴⁵³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

345306 is an abundant number, since it is smaller than the sum of its proper divisors (440934).

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

345306 is a wasteful number, since it uses less digits than its factorization.

345306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270.

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

The square root of 345306 is about 587.6274329879. The cubic root of 345306 is about 70.1565205065.

Adding to 345306 its reverse (603543), we get a palindrome (948849).

It can be divided in two parts, 345 and 306, that multiplied together give a triangular number (105570 = T₄₅₉).

The spelling of 345306 in words is "three hundred forty-five thousand, three hundred six".