314133330 has 64 divisors (see below), whose sum is σ = 884931840. Its totient is φ = 69859584.

The previous prime is 314133329. The next prime is 314133341. The reversal of 314133330 is 33331413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 314133297 and 314133306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12445 + ... + 27984.

It is an arithmetic number, because the mean of its divisors is an integer number (13827060).

Almost surely, 2^314133330 is an apocalyptic number.

314133330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314133330 is an abundant number, since it is smaller than the sum of its proper divisors (570798510).

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

314133330 is a wasteful number, since it uses less digits than its factorization.

314133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40483.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 314133330 is about 17723.8068709857. The cubic root of 314133330 is about 679.7846275836.

Adding to 314133330 its reverse (33331413), we get a palindrome (347464743).

It can be divided in two parts, 31413 and 3330, that added together give a palindrome (34743).

The spelling of 314133330 in words is "three hundred fourteen million, one hundred thirty-three thousand, three hundred thirty".