309348 has 36 divisors (see below), whose sum is σ = 843388. Its totient is φ = 95040.

The previous prime is 309317. The next prime is 309359. The reversal of 309348 is 843903.

309348 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 166464 = 378^2 + 408^2 .

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309348.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 798.

2³⁰⁹³⁴⁸ 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 309348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421694).

309348 is an abundant number, since it is smaller than the sum of its proper divisors (534040).

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

309348 is a wasteful number, since it uses less digits than its factorization.

309348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 309348 is about 556.1906148075. The cubic root of 309348 is about 67.6315131482.

The spelling of 309348 in words is "three hundred nine thousand, three hundred forty-eight".