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2380896441 = 3271119231307
BaseRepresentation
bin1000110111101001…
…1001100010111001
320010221002001220200
42031322121202321
514334002141231
61032130512413
7113000200020
oct21572314271
96127061820
102380896441
111011a54810
12565435709
132bc35a581
141882c98b7
15de050be6
hex8de998b9

2380896441 has 144 divisors (see below), whose sum is σ = 4686409728. Its totient is φ = 1130241600.

The previous prime is 2380896439. The next prime is 2380896457. The reversal of 2380896441 is 1446980832.

It is a happy number.

It is not a de Polignac number, because 2380896441 - 21 = 2380896439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2380896481) 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 143 ways as a sum of consecutive naturals, for example, 7755210 + ... + 7755516.

It is an arithmetic number, because the mean of its divisors is an integer number (32544512).

Almost surely, 22380896441 is an apocalyptic number.

2380896441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2380896441 is a deficient number, since it is larger than the sum of its proper divisors (2305513287).

2380896441 is a wasteful number, since it uses less digits than its factorization.

2380896441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2380896441 is about 48794.4304301218. The cubic root of 2380896441 is about 1335.3040573265.

The spelling of 2380896441 in words is "two billion, three hundred eighty million, eight hundred ninety-six thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 19 21 31 33 57 63 77 93 99 133 171 209 217 231 279 307 341 361 399 589 627 651 693 921 1023 1083 1197 1463 1767 1881 1953 2149 2387 2527 2763 3069 3249 3377 3971 4123 4389 5301 5833 6447 6479 7161 7581 9517 10131 11191 11913 12369 13167 17499 19341 19437 21483 22743 23639 27797 28551 30393 33573 35739 37107 40831 45353 52497 58311 64163 66619 70917 78337 83391 85653 100719 104687 110827 122493 123101 136059 180823 192489 199857 212751 235011 250173 314061 332481 367479 369303 408177 449141 542469 577467 599571 705033 732809 775789 861707 942183 997443 1107909 1219097 1265761 1347423 1627407 1989053 2198427 2327367 2585121 3435637 3657291 3797283 4042269 5967159 6595281 6982101 7755363 8533679 10306911 10971873 11391849 13923371 17901477 24049459 25601037 30920733 37792007 41770113 72148377 76803111 113376021 125310339 216445131 264544049 340128063 793632147 2380896441