312423144 has 128 divisors (see below), whose sum is σ = 916531200. Its totient is φ = 87690240.

The previous prime is 312423143. The next prime is 312423149. The reversal of 312423144 is 441324213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (312423143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300177 + ... + 301215.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^312423144 is an apocalyptic number.

312423144 is a gapful number since it is divisible by the number (34) 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 312423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458265600).

312423144 is an abundant number, since it is smaller than the sum of its proper divisors (604108056).

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

312423144 is a wasteful number, since it uses less digits than its factorization.

312423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1139 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 312423144 is about 17675.4955800396. The cubic root of 312423144 is about 678.5487677793.

Adding to 312423144 its reverse (441324213), we get a palindrome (753747357).

The spelling of 312423144 in words is "three hundred twelve million, four hundred twenty-three thousand, one hundred forty-four".