311106368 has 28 divisors (see below), whose sum is σ = 618744000. Its totient is φ = 155202432.

The previous prime is 311106331. The next prime is 311106373. The reversal of 311106368 is 863601113.

It is a super-3 number, since 3×311106368³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311106368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24383 + ... + 34881.

It is an arithmetic number, because the mean of its divisors is an integer number (22098000).

Almost surely, 2^311106368 is an apocalyptic number.

It is an amenable number.

311106368 is a deficient number, since it is larger than the sum of its proper divisors (307637632).

311106368 is a wasteful number, since it uses less digits than its factorization.

311106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10974 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 311106368 is about 17638.2076186896. The cubic root of 311106368 is about 677.5941277061.

The spelling of 311106368 in words is "three hundred eleven million, one hundred six thousand, three hundred sixty-eight".