314048 has 28 divisors (see below), whose sum is σ = 713232. Its totient is φ = 134400.

The previous prime is 314021. The next prime is 314059. The reversal of 314048 is 840413.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×314048² = 197252292608, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314048.

It is an unprimeable number.

314048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 798.

2³¹⁴⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616).

314048 is an abundant number, since it is smaller than the sum of its proper divisors (399184).

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

314048 is an equidigital number, since it uses as much as digits as its factorization.

314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 314048 is about 560.3998572448. The cubic root of 314048 is about 67.9723070627.

Subtracting from 314048 its sum of digits (20), we obtain a triangular number (314028 = T₇₉₂).

Adding to 314048 its product of nonzero digits (384), we get a cube (314432 = 68³).

The spelling of 314048 in words is "three hundred fourteen thousand, forty-eight".