303434320 has 80 divisors (see below), whose sum is σ = 809198208. Its totient is φ = 103656960.

The previous prime is 303434311. The next prime is 303434323. The reversal of 303434320 is 23434303.

303434320 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 303434291 and 303434300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303434323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184542 + ... + 186178.

Almost surely, 2^303434320 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 303434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404599104).

303434320 is an abundant number, since it is smaller than the sum of its proper divisors (505763888).

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

303434320 is a wasteful number, since it uses less digits than its factorization.

303434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 303434320 is about 17419.3662341659. The cubic root of 303434320 is about 671.9777605074.

Adding to 303434320 its reverse (23434303), we get a palindrome (326868623).

The spelling of 303434320 in words is "three hundred three million, four hundred thirty-four thousand, three hundred twenty".