314344032 has 48 divisors (see below), whose sum is σ = 828202032. Its totient is φ = 104394240.

The previous prime is 314344031. The next prime is 314344039. The reversal of 314344032 is 230443413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 314343993 and 314344011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314344031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20682 + ... + 32502.

It is an arithmetic number, because the mean of its divisors is an integer number (17254209).

Almost surely, 2^314344032 is an apocalyptic number.

314344032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314344032 is an abundant number, since it is smaller than the sum of its proper divisors (513858000).

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

314344032 is a wasteful number, since it uses less digits than its factorization.

314344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111 (or 12103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 314344032 is about 17729.7499136339. The cubic root of 314344032 is about 679.9365800138.

Adding to 314344032 its reverse (230443413), we get a palindrome (544787445).

The spelling of 314344032 in words is "three hundred fourteen million, three hundred forty-four thousand, thirty-two".