314144320 has 112 divisors (see below), whose sum is σ = 869777280. Its totient is φ = 105836544.

The previous prime is 314144317. The next prime is 314144329. The reversal of 314144320 is 23441413.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 314144291 and 314144300.

It is not an unprimeable number, because it can be changed into a prime (314144329) 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, 130972 + ... + 133348.

Almost surely, 2^314144320 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 314144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434888640).

314144320 is an abundant number, since it is smaller than the sum of its proper divisors (555632960).

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

314144320 is a wasteful number, since it uses less digits than its factorization.

314144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 314144320 is about 17724.1169032480. The cubic root of 314144320 is about 679.7925549457.

Adding to 314144320 its reverse (23441413), we get a palindrome (337585733).

The spelling of 314144320 in words is "three hundred fourteen million, one hundred forty-four thousand, three hundred twenty".