Search a number
-
+
304689105 = 32572138181
BaseRepresentation
bin10010001010010…
…010111111010001
3210020022210212200
4102022102333101
51111000022410
650122313413
710356546300
oct2212227721
9706283780
10304689105
11146a97486
1286058869
134b180216
142c674437
151bb383c0
hex12292fd1

304689105 has 36 divisors (see below), whose sum is σ = 614357172. Its totient is φ = 139285440.

The previous prime is 304689089. The next prime is 304689107. The reversal of 304689105 is 501986403.

It can be written as a sum of positive squares in 2 ways, for example, as 196196049 + 108493056 = 14007^2 + 10416^2 .

It is not a de Polignac number, because 304689105 - 24 = 304689089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 304689105.

It is not an unprimeable number, because it can be changed into a prime (304689107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66886 + ... + 71295.

It is an arithmetic number, because the mean of its divisors is an integer number (17065477).

Almost surely, 2304689105 is an apocalyptic number.

304689105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

304689105 is an abundant number, since it is smaller than the sum of its proper divisors (309668067).

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

304689105 is a wasteful number, since it uses less digits than its factorization.

304689105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138206 (or 138196 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 304689105 is about 17455.3460292255. The cubic root of 304689105 is about 672.9027580550.

The spelling of 304689105 in words is "three hundred four million, six hundred eighty-nine thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 138181 414543 690905 967267 1243629 2072715 2901801 4836335 6218145 6770869 8705403 14509005 20312607 33854345 43527015 60937821 101563035 304689105