305013216 has 96 divisors (see below), whose sum is σ = 834720768. Its totient is φ = 97413120.

The previous prime is 305013211. The next prime is 305013239. The reversal of 305013216 is 612310503.

305013216 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 (96).

It is a junction number, because it is equal to n+sod(n) for n = 305013192 and 305013201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305013211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335835 + ... + 336741.

It is an arithmetic number, because the mean of its divisors is an integer number (8695008).

Almost surely, 2^305013216 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 305013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417360384).

305013216 is an abundant number, since it is smaller than the sum of its proper divisors (529707552).

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

305013216 is a wasteful number, since it uses less digits than its factorization.

305013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 305013216 is about 17464.6275654536. The cubic root of 305013216 is about 673.1412721069.

Adding to 305013216 its reverse (612310503), we get a palindrome (917323719).

The spelling of 305013216 in words is "three hundred five million, thirteen thousand, two hundred sixteen".