305314240 has 112 divisors (see below), whose sum is σ = 906499584. Its totient is φ = 95155200.

The previous prime is 305314231. The next prime is 305314253. The reversal of 305314240 is 42413503.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 18445 + ... + 30835.

Almost surely, 2^305314240 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 305314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453249792).

305314240 is an abundant number, since it is smaller than the sum of its proper divisors (601185344).

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

305314240 is a wasteful number, since it uses less digits than its factorization.

305314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12426 (or 12416 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 305314240 is about 17473.2435454898. The cubic root of 305314240 is about 673.3626450876.

Adding to 305314240 its reverse (42413503), we get a palindrome (347727743).

The spelling of 305314240 in words is "three hundred five million, three hundred fourteen thousand, two hundred forty".