314343424 has 64 divisors (see below), whose sum is σ = 644077980. Its totient is φ = 153354240.

The previous prime is 314343347. The next prime is 314343427. The reversal of 314343424 is 424343413.

It can be written as a sum of positive squares in 2 ways, for example, as 298598400 + 15745024 = 17280^2 + 3968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 314343392 and 314343401.

It is not an unprimeable number, because it can be changed into a prime (314343427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1736614 + ... + 1736794.

Almost surely, 2^314343424 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 314343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322038990).

314343424 is an abundant number, since it is smaller than the sum of its proper divisors (329734556).

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

314343424 is an frugal number, since it uses more digits than its factorization.

314343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 314343424 is about 17729.7327673036. The cubic root of 314343424 is about 679.9361416388.

Adding to 314343424 its reverse (424343413), we get a palindrome (738686837).

The spelling of 314343424 in words is "three hundred fourteen million, three hundred forty-three thousand, four hundred twenty-four".