314133320 has 16 divisors (see below), whose sum is σ = 706800060. Its totient is φ = 125653312.

The previous prime is 314133301. The next prime is 314133329. The reversal of 314133320 is 23331413.

It can be written as a sum of positive squares in 2 ways, for example, as 273505444 + 40627876 = 16538^2 + 6374^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 314133292 and 314133301.

It is not an unprimeable number, because it can be changed into a prime (314133329) 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 3 ways as a sum of consecutive naturals, for example, 3926627 + ... + 3926706.

Almost surely, 2^314133320 is an apocalyptic number.

It is an amenable number.

314133320 is an abundant number, since it is smaller than the sum of its proper divisors (392666740).

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

314133320 is a wasteful number, since it uses less digits than its factorization.

314133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853344 (or 7853340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 314133320 is about 17723.8065888793. The cubic root of 314133320 is about 679.7846203703.

Adding to 314133320 its reverse (23331413), we get a palindrome (337464733).

The spelling of 314133320 in words is "three hundred fourteen million, one hundred thirty-three thousand, three hundred twenty".