311130380 has 48 divisors (see below), whose sum is σ = 722572704. Its totient is φ = 111582720.

The previous prime is 311130343. The next prime is 311130389. The reversal of 311130380 is 83031113.

It is a happy number.

It is a super-2 number, since 2×311130380² = 193604226717888800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (311130389) 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 15 ways as a sum of consecutive naturals, for example, 6374 + ... + 25746.

It is an arithmetic number, because the mean of its divisors is an integer number (15053598).

Almost surely, 2^311130380 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 311130380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361286352).

311130380 is an abundant number, since it is smaller than the sum of its proper divisors (411442324).

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

311130380 is a wasteful number, since it uses less digits than its factorization.

311130380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19466 (or 19464 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 311130380 is about 17638.8882869641. Note that the first 3 decimals coincide. The cubic root of 311130380 is about 677.6115600843.

Adding to 311130380 its reverse (83031113), we get a palindrome (394161493).

The spelling of 311130380 in words is "three hundred eleven million, one hundred thirty thousand, three hundred eighty".