305316 has 48 divisors (see below), whose sum is σ = 866880. Its totient is φ = 92160.

The previous prime is 305297. The next prime is 305329. The reversal of 305316 is 613503.

305316 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060 + ... + 1316.

It is an arithmetic number, because the mean of its divisors is an integer number (18060).

2³⁰⁵³¹⁶ is an apocalyptic number.

305316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433440).

305316 is an abundant number, since it is smaller than the sum of its proper divisors (561564).

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

305316 is a wasteful number, since it uses less digits than its factorization.

305316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 305316 is about 552.5540697525. The cubic root of 305316 is about 67.3363938963.

Adding to 305316 its reverse (613503), we get a palindrome (918819).

The spelling of 305316 in words is "three hundred five thousand, three hundred sixteen".