311214144 has 112 divisors (see below), whose sum is σ = 850026240. Its totient is φ = 100446720.

The previous prime is 311214143. The next prime is 311214151. The reversal of 311214144 is 441412113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311214144.

It is not an unprimeable number, because it can be changed into a prime (311214143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940059 + ... + 940389.

It is an arithmetic number, because the mean of its divisors is an integer number (7589520).

Almost surely, 2^311214144 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 311214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425013120).

311214144 is an abundant number, since it is smaller than the sum of its proper divisors (538812096).

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

311214144 is a wasteful number, since it uses less digits than its factorization.

311214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 311214144 is about 17641.2625398524. The cubic root of 311214144 is about 677.6723645631.

Adding to 311214144 its reverse (441412113), we get a palindrome (752626257).

The spelling of 311214144 in words is "three hundred eleven million, two hundred fourteen thousand, one hundred forty-four".