314078112 has 144 divisors (see below), whose sum is σ = 932585472. Its totient is φ = 100154880.

The previous prime is 314078099. The next prime is 314078119. The reversal of 314078112 is 211870413.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (314078119) 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 23 ways as a sum of consecutive naturals, for example, 1133718 + ... + 1133994.

It is an arithmetic number, because the mean of its divisors is an integer number (6476288).

Almost surely, 2^314078112 is an apocalyptic number.

314078112 is a gapful number since it is divisible by the number (32) 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 314078112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466292736).

314078112 is an abundant number, since it is smaller than the sum of its proper divisors (618507360).

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

314078112 is a wasteful number, since it uses less digits than its factorization.

314078112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 314078112 is about 17722.2490672036. The cubic root of 314078112 is about 679.7447946597.

The spelling of 314078112 in words is "three hundred fourteen million, seventy-eight thousand, one hundred twelve".