314110128 has 80 divisors (see below), whose sum is σ = 859806080. Its totient is φ = 98537472.

The previous prime is 314110099. The next prime is 314110129. The reversal of 314110128 is 821011413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314110129) 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 15 ways as a sum of consecutive naturals, for example, 147600 + ... + 149712.

It is an arithmetic number, because the mean of its divisors is an integer number (10747576).

Almost surely, 2^314110128 is an apocalyptic number.

314110128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314110128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429903040).

314110128 is an abundant number, since it is smaller than the sum of its proper divisors (545695952).

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

314110128 is a wasteful number, since it uses less digits than its factorization.

314110128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 314110128 is about 17723.1523155448. The cubic root of 314110128 is about 679.7678907931.

The spelling of 314110128 in words is "three hundred fourteen million, one hundred ten thousand, one hundred twenty-eight".