300312 has 48 divisors (see below), whose sum is σ = 840840. Its totient is φ = 96768.

The previous prime is 300301. The next prime is 300317. The reversal of 300312 is 213003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 300294 and 300303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300317) by changing a digit.

300312 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 3048 + ... + 3144.

2³⁰⁰³¹² 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 300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420420).

300312 is an abundant number, since it is smaller than the sum of its proper divisors (540528).

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

300312 is a wasteful number, since it uses less digits than its factorization.

300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 300312 is about 548.0072992215. The cubic root of 300312 is about 66.9664939767.

Adding to 300312 its reverse (213003), we get a palindrome (513315).

The spelling of 300312 in words is "three hundred thousand, three hundred twelve", and thus it is an iban number.