314104032 has 72 divisors (see below), whose sum is σ = 974446200. Its totient is φ = 95182080.

The previous prime is 314104027. The next prime is 314104057. The reversal of 314104032 is 230401413.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×314104032² = 197322685837314048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314103996 and 314104014.

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 11 ways as a sum of consecutive naturals, for example, 46407 + ... + 52742.

It is an arithmetic number, because the mean of its divisors is an integer number (13533975).

Almost surely, 2^314104032 is an apocalyptic number.

314104032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314104032 is an abundant number, since it is smaller than the sum of its proper divisors (660342168).

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

314104032 is a wasteful number, since it uses less digits than its factorization.

314104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99176 (or 99165 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314104032 is about 17722.9803362753. The cubic root of 314104032 is about 679.7634932994.

Adding to 314104032 its reverse (230401413), we get a palindrome (544505445).

The spelling of 314104032 in words is "three hundred fourteen million, one hundred four thousand, thirty-two".