309140 has 48 divisors (see below), whose sum is σ = 740880. Its totient is φ = 107520.

The previous prime is 309137. The next prime is 309157. The reversal of 309140 is 41903.

309140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 80656 + 228484 = 284^2 + 478^2 .

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 309140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7520 + ... + 7560.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2³⁰⁹¹⁴⁰ 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 309140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370440).

309140 is an abundant number, since it is smaller than the sum of its proper divisors (431740).

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

309140 is a wasteful number, since it uses less digits than its factorization.

309140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 309140 is about 556.0035971107. The cubic root of 309140 is about 67.6163516809.

The spelling of 309140 in words is "three hundred nine thousand, one hundred forty".