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304414313 = 7260110337
BaseRepresentation
bin10010001001001…
…111111001101001
3210012210211221012
4102021033321221
51110412224223
650112353305
710354323200
oct2211177151
9705724835
10304414313
11146919a85
1285b45835
134b0b5118
142c602237
151bad1c78
hex1224fe69

304414313 has 12 divisors (see below), whose sum is σ = 354738132. Its totient is φ = 260467200.

The previous prime is 304414289. The next prime is 304414321. The reversal of 304414313 is 313414403.

It can be written as a sum of positive squares in 2 ways, for example, as 121705024 + 182709289 = 11032^2 + 13517^2 .

It is not a de Polignac number, because 304414313 - 26 = 304414249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (304414343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24281 + ... + 34617.

It is an arithmetic number, because the mean of its divisors is an integer number (29561511).

Almost surely, 2304414313 is an apocalyptic number.

It is an amenable number.

304414313 is a deficient number, since it is larger than the sum of its proper divisors (50323819).

304414313 is a wasteful number, since it uses less digits than its factorization.

304414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 10945 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 304414313 is about 17447.4729688858. The cubic root of 304414313 is about 672.7004054408.

Adding to 304414313 its reverse (313414403), we get a palindrome (617828716).

The spelling of 304414313 in words is "three hundred four million, four hundred fourteen thousand, three hundred thirteen".

Divisors: 1 7 49 601 4207 10337 29449 72359 506513 6212537 43487759 304414313