314042432 has 84 divisors (see below), whose sum is σ = 693206640. Its totient is φ = 141039360.

The previous prime is 314042429. The next prime is 314042441. The reversal of 314042432 is 234240413.

It is a junction number, because it is equal to n+sod(n) for n = 314042398 and 314042407.

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, 828419 + ... + 828797.

It is an arithmetic number, because the mean of its divisors is an integer number (8252460).

Almost surely, 2^314042432 is an apocalyptic number.

314042432 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 314042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346603320).

314042432 is an abundant number, since it is smaller than the sum of its proper divisors (379164208).

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

314042432 is a wasteful number, since it uses less digits than its factorization.

314042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 314042432 is about 17721.2423943695. The cubic root of 314042432 is about 679.7190534912.

Adding to 314042432 its reverse (234240413), we get a palindrome (548282845).

The spelling of 314042432 in words is "three hundred fourteen million, forty-two thousand, four hundred thirty-two".