314049330 has 288 divisors, whose sum is σ = 1037162880. Its totient is φ = 65479680.

The previous prime is 314049317. The next prime is 314049343. The reversal of 314049330 is 33940413.

314049330 is a `hidden beast` number, since 3 + 140 + 493 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (314049317) and next prime (314049343).

It is a junction number, because it is equal to n+sod(n) for n = 314049294 and 314049303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4423195 + ... + 4423265.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 2^314049330 is an apocalyptic number.

314049330 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 314049330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518581440).

314049330 is an abundant number, since it is smaller than the sum of its proper divisors (723113550).

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

314049330 is a wasteful number, since it uses less digits than its factorization.

314049330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 314049330 is about 17721.4370184813. The cubic root of 314049330 is about 679.7240301730.

Adding to 314049330 its reverse (33940413), we get a palindrome (347989743).

The spelling of 314049330 in words is "three hundred fourteen million, forty-nine thousand, three hundred thirty".