311949144 has 160 divisors (see below), whose sum is σ = 990990000. Its totient is φ = 90885888.

The previous prime is 311949139. The next prime is 311949151. The reversal of 311949144 is 441949113.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 311949099 and 311949108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159082 + ... + 161030.

Almost surely, 2^311949144 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 311949144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495495000).

311949144 is an abundant number, since it is smaller than the sum of its proper divisors (679040856).

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

311949144 is a wasteful number, since it uses less digits than its factorization.

311949144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1986 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 311949144 is about 17662.0820969669. The cubic root of 311949144 is about 678.2054354361.

The spelling of 311949144 in words is "three hundred eleven million, nine hundred forty-nine thousand, one hundred forty-four".