311346640 has 160 divisors (see below), whose sum is σ = 830518272. Its totient is φ = 107520000.

The previous prime is 311346631. The next prime is 311346641. The reversal of 311346640 is 46643113.

It is a junction number, because it is equal to n+sod(n) for n = 311346599 and 311346608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311346641) 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, 2755224 + ... + 2755336.

Almost surely, 2^311346640 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 311346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415259136).

311346640 is an abundant number, since it is smaller than the sum of its proper divisors (519171632).

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

311346640 is a wasteful number, since it uses less digits than its factorization.

311346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 311346640 is about 17645.0174270245. The cubic root of 311346640 is about 677.7685214379.

Adding to 311346640 its reverse (46643113), we get a palindrome (357989753).

The spelling of 311346640 in words is "three hundred eleven million, three hundred forty-six thousand, six hundred forty".