306145216 has 56 divisors (see below), whose sum is σ = 668243520. Its totient is φ = 138273792.

The previous prime is 306145207. The next prime is 306145219. The reversal of 306145216 is 612541603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306145219) 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, 35190 + ... + 43018.

It is an arithmetic number, because the mean of its divisors is an integer number (11932920).

Almost surely, 2^306145216 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 306145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334121760).

306145216 is an abundant number, since it is smaller than the sum of its proper divisors (362098304).

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

306145216 is a wasteful number, since it uses less digits than its factorization.

306145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 306145216 is about 17497.0059152988. The cubic root of 306145216 is about 673.9729903736.

Adding to 306145216 its reverse (612541603), we get a palindrome (918686819).

The spelling of 306145216 in words is "three hundred six million, one hundred forty-five thousand, two hundred sixteen".