Search a number
-
+
304305586321 = 114472972
BaseRepresentation
bin1000110110110100000…
…01101100000010010001
31002002110120122110211011
410123122001230002101
514441204212230241
6351443540450521
730661655543212
oct4333201540221
91062416573734
10304305586321
11108067630000
124ab873a9a41
1322907b55a19
1410a2acc1409
157db0698281
hex46da06c091

304305586321 has 45 divisors (see below), whose sum is σ = 345569800395. Its totient is φ = 267964160640.

The previous prime is 304305586271. The next prime is 304305586337. The reversal of 304305586321 is 123685503403.

The square root of 304305586321 is 551639.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 136644819025 + 167660767296 = 369655^2 + 409464^2 .

It is not a de Polignac number, because 304305586321 - 229 = 303768715409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (304305586381) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3137170945 + ... + 3137171041.

Almost surely, 2304305586321 is an apocalyptic number.

304305586321 is the 551639-th square number.

304305586321 is the 275820-th centered octagonal number.

It is an amenable number.

304305586321 is a deficient number, since it is larger than the sum of its proper divisors (41264214074).

304305586321 is an frugal number, since it uses more digits than its factorization.

304305586321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 304305586321 in words is "three hundred four billion, three hundred five million, five hundred eighty-six thousand, three hundred twenty-one".

Divisors: 1 11 47 97 121 517 1067 1331 2209 4559 5687 9409 11737 14641 24299 50149 62557 103499 129107 214273 267289 442223 551639 688127 1138489 1420177 2357003 2940179 4864453 6068029 12523379 20784481 25927033 32341969 53508983 66748319 137757169 228629291 285197363 588598813 2514922201 3137170993 6474586943 27664144211 304305586321