305414320 has 20 divisors (see below), whose sum is σ = 710088480. Its totient is φ = 122165696.

The previous prime is 305414311. The next prime is 305414321. The reversal of 305414320 is 23414503.

305414320 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 (20).

It is a super-2 number, since 2×305414320² = 186555813722124800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305414291 and 305414300.

It is not an unprimeable number, because it can be changed into a prime (305414321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1908760 + ... + 1908919.

It is an arithmetic number, because the mean of its divisors is an integer number (35504424).

Almost surely, 2^305414320 is an apocalyptic number.

It is an amenable number.

305414320 is an abundant number, since it is smaller than the sum of its proper divisors (404674160).

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

305414320 is a wasteful number, since it uses less digits than its factorization.

305414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817692 (or 3817686 counting only the distinct ones).

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

The square root of 305414320 is about 17476.1071180054. The cubic root of 305414320 is about 673.4362116656.

Adding to 305414320 its reverse (23414503), we get a palindrome (328828823).

The spelling of 305414320 in words is "three hundred five million, four hundred fourteen thousand, three hundred twenty".