312241314 has 64 divisors (see below), whose sum is σ = 780917760. Its totient is φ = 80857920.

The previous prime is 312241313. The next prime is 312241339. The reversal of 312241314 is 413142213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (312241313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192772 + ... + 194384.

It is an arithmetic number, because the mean of its divisors is an integer number (12201840).

Almost surely, 2^312241314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390458880).

312241314 is an abundant number, since it is smaller than the sum of its proper divisors (468676446).

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

312241314 is a wasteful number, since it uses less digits than its factorization.

312241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055.

The product of its digits is 576, while the sum is 21.

The square root of 312241314 is about 17670.3512698531. The cubic root of 312241314 is about 678.4171039677.

Adding to 312241314 its reverse (413142213), we get a palindrome (725383527).

The spelling of 312241314 in words is "three hundred twelve million, two hundred forty-one thousand, three hundred fourteen".