314113320 has 144 divisors (see below), whose sum is σ = 1077871860. Its totient is φ = 79322112.

The previous prime is 314113279. The next prime is 314113343. The reversal of 314113320 is 23311413.

It can be written as a sum of positive squares in 2 ways, for example, as 296321796 + 17791524 = 17214^2 + 4218^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314113293 and 314113302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128752 + ... + 131168.

Almost surely, 2^314113320 is an apocalyptic number.

314113320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538935930).

314113320 is an abundant number, since it is smaller than the sum of its proper divisors (763758540).

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

314113320 is a wasteful number, since it uses less digits than its factorization.

314113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 314113320 is about 17723.2423670163. The cubic root of 314113320 is about 679.7701933950.

Adding to 314113320 its reverse (23311413), we get a palindrome (337424733).

It can be divided in two parts, 3141 and 13320, that added together give a palindrome (16461).

The spelling of 314113320 in words is "three hundred fourteen million, one hundred thirteen thousand, three hundred twenty".