311241216 has 240 divisors, whose sum is σ = 988463520. Its totient is φ = 86261760.

The previous prime is 311241193. The next prime is 311241239. The reversal of 311241216 is 612142113.

It is an interprime number because it is at equal distance from previous prime (311241193) and next prime (311241239).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 311241192 and 311241201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2855370 + ... + 2855478.

It is an arithmetic number, because the mean of its divisors is an integer number (4118598).

Almost surely, 2^311241216 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 311241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494231760).

311241216 is an abundant number, since it is smaller than the sum of its proper divisors (677222304).

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

311241216 is a wasteful number, since it uses less digits than its factorization.

311241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 311241216 is about 17642.0298151885. The cubic root of 311241216 is about 677.6920138568.

Adding to 311241216 its reverse (612142113), we get a palindrome (923383329).

The spelling of 311241216 in words is "three hundred eleven million, two hundred forty-one thousand, two hundred sixteen".