305034320 has 40 divisors (see below), whose sum is σ = 715731720. Its totient is φ = 120890880.

The previous prime is 305034319. The next prime is 305034329. The reversal of 305034320 is 23430503.

It can be written as a sum of positive squares in 4 ways, for example, as 58920976 + 246113344 = 7676^2 + 15688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 305034292 and 305034301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305034329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8771 + ... + 26210.

It is an arithmetic number, because the mean of its divisors is an integer number (17893293).

Almost surely, 2^305034320 is an apocalyptic number.

It is an amenable number.

305034320 is an abundant number, since it is smaller than the sum of its proper divisors (410697400).

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

305034320 is a wasteful number, since it uses less digits than its factorization.

305034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35103 (or 35097 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 305034320 is about 17465.2317476752. The cubic root of 305034320 is about 673.1567967302.

Adding to 305034320 its reverse (23430503), we get a palindrome (328464823).

The spelling of 305034320 in words is "three hundred five million, thirty-four thousand, three hundred twenty".