314248032 has 192 divisors, whose sum is σ = 1056706560. Its totient is φ = 88998912.

The previous prime is 314248019. The next prime is 314248069. The reversal of 314248032 is 230842413.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 314247987 and 314248005.

It is a congruent number.

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, 1348588 + ... + 1348820.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^314248032 is an apocalyptic number.

314248032 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 314248032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

314248032 is an abundant number, since it is smaller than the sum of its proper divisors (742458528).

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

314248032 is a wasteful number, since it uses less digits than its factorization.

314248032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 314248032 is about 17727.0423929092. The cubic root of 314248032 is about 679.8673559037.

The spelling of 314248032 in words is "three hundred fourteen million, two hundred forty-eight thousand, thirty-two".