314151330 has 64 divisors (see below), whose sum is σ = 801612288. Its totient is φ = 78520320.

The previous prime is 314151329. The next prime is 314151361. The reversal of 314151330 is 33151413.

It is a junction number, because it is equal to n+sod(n) for n = 314151297 and 314151306.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 137074 + ... + 139346.

It is an arithmetic number, because the mean of its divisors is an integer number (12525192).

Almost surely, 2^314151330 is an apocalyptic number.

314151330 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 314151330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400806144).

314151330 is an abundant number, since it is smaller than the sum of its proper divisors (487460958).

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

314151330 is a wasteful number, since it uses less digits than its factorization.

314151330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 314151330 is about 17724.3146552977. The cubic root of 314151330 is about 679.7976113376.

The spelling of 314151330 in words is "three hundred fourteen million, one hundred fifty-one thousand, three hundred thirty".