301312 has 36 divisors (see below), whose sum is σ = 662256. Its totient is φ = 135680.

The previous prime is 301303. The next prime is 301319. The reversal of 301312 is 213103.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (301319) by changing a digit.

301312 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2763 + ... + 2869.

It is an arithmetic number, because the mean of its divisors is an integer number (18396).

2³⁰¹³¹² is an apocalyptic number.

301312 is a gapful number since it is divisible by the number (32) 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 301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331128).

301312 is an abundant number, since it is smaller than the sum of its proper divisors (360944).

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

301312 is a wasteful number, since it uses less digits than its factorization.

301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 301312 is about 548.9189375491. The cubic root of 301312 is about 67.0407415384.

Adding to 301312 its reverse (213103), we get a palindrome (514415).

Subtracting from 301312 its reverse (213103), we obtain a square (88209 = 297²).

It can be divided in two parts, 3013 and 12, that added together give a square (3025 = 55²).

The spelling of 301312 in words is "three hundred one thousand, three hundred twelve", and thus it is an iban number.