314257104 has 160 divisors (see below), whose sum is σ = 1091715840. Its totient is φ = 84492288.

The previous prime is 314257081. The next prime is 314257117. The reversal of 314257104 is 401752413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48352 + ... + 54464.

It is an arithmetic number, because the mean of its divisors is an integer number (6823224).

Almost surely, 2^314257104 is an apocalyptic number.

314257104 is a gapful number since it is divisible by the number (34) 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 314257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545857920).

314257104 is an abundant number, since it is smaller than the sum of its proper divisors (777458736).

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

314257104 is a wasteful number, since it uses less digits than its factorization.

314257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 314257104 is about 17727.2982713103. The cubic root of 314257104 is about 679.8738981853.

The spelling of 314257104 in words is "three hundred fourteen million, two hundred fifty-seven thousand, one hundred four".