Search a number
-
+
313300314 = 23217405573
BaseRepresentation
bin10010101011001…
…001010101011010
3210211112022020100
4102223021111122
51120201102224
651031040230
710523002665
oct2253112532
9724468210
10313300314
11150939188
1288b10076
134cba6902
142d8766dc
151c789ac9
hex12ac955a

313300314 has 12 divisors (see below), whose sum is σ = 678817386. Its totient is φ = 104433432.

The previous prime is 313300313. The next prime is 313300343. The reversal of 313300314 is 413003313.

313300314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 260984025 + 52316289 = 16155^2 + 7233^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17405573 = 313300314 / (3 + 1 + 3 + 3 + 0 + 0 + 3 + 1 + 4).

It is not an unprimeable number, because it can be changed into a prime (313300313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8702769 + ... + 8702804.

Almost surely, 2313300314 is an apocalyptic number.

313300314 is an abundant number, since it is smaller than the sum of its proper divisors (365517072).

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

313300314 is a wasteful number, since it uses less digits than its factorization.

313300314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17405581 (or 17405578 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313300314 is about 17700.2913535343. The cubic root of 313300314 is about 679.1832133640.

Adding to 313300314 its reverse (413003313), we get a palindrome (726303627).

The spelling of 313300314 in words is "three hundred thirteen million, three hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 17405573 34811146 52216719 104433438 156650157 313300314