314241330 has 64 divisors (see below), whose sum is σ = 814302720. Its totient is φ = 77150976.

The previous prime is 314241329. The next prime is 314241337. The reversal of 314241330 is 33142413.

It is a super-2 number, since 2×314241330² = 197495226960337800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314241297 and 314241306.

It is not an unprimeable number, because it can be changed into a prime (314241337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197719 + ... + 199301.

It is an arithmetic number, because the mean of its divisors is an integer number (12723480).

Almost surely, 2^314241330 is an apocalyptic number.

314241330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314241330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407151360).

314241330 is an abundant number, since it is smaller than the sum of its proper divisors (500061390).

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

314241330 is a wasteful number, since it uses less digits than its factorization.

314241330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314241330 is about 17726.8533586759. The cubic root of 314241330 is about 679.8625226691.

Adding to 314241330 its reverse (33142413), we get a palindrome (347383743).

The spelling of 314241330 in words is "three hundred fourteen million, two hundred forty-one thousand, three hundred thirty".