314228680 has 64 divisors (see below), whose sum is σ = 754291440. Its totient is φ = 117399552.

The previous prime is 314228671. The next prime is 314228689. The reversal of 314228680 is 86822413.

314228680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314228671) and next prime (314228689).

It can be written as a sum of positive squares in 8 ways, for example, as 282441636 + 31787044 = 16806^2 + 5638^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (314228689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91474 + ... + 94846.

Almost surely, 2^314228680 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 314228680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377145720).

314228680 is an abundant number, since it is smaller than the sum of its proper divisors (440062760).

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

314228680 is a wasteful number, since it uses less digits than its factorization.

314228680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 314228680 is about 17726.4965517724. The cubic root of 314228680 is about 679.8533997695.

The spelling of 314228680 in words is "three hundred fourteen million, two hundred twenty-eight thousand, six hundred eighty".