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2313145386 = 232192959267
BaseRepresentation
bin1000100111011111…
…1100110000101010
312222012120221221100
42021313330300222
514214131123021
61021310422230
7111215261046
oct21167746052
95865527840
102313145386
11a8778a402
12546801976
132ab2c85a6
1417d2d1026
15d811b626
hex89dfcc2a

2313145386 has 144 divisors (see below), whose sum is σ = 5634439200. Its totient is φ = 682976448.

The previous prime is 2313145381. The next prime is 2313145399. The reversal of 2313145386 is 6835413132.

2313145386 is a `hidden beast` number, since 231 + 3 + 1 + 45 + 386 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2313145386.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313145381) 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 71 ways as a sum of consecutive naturals, for example, 34524525 + ... + 34524591.

It is an arithmetic number, because the mean of its divisors is an integer number (39128050).

Almost surely, 22313145386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313145386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817219600).

2313145386 is an abundant number, since it is smaller than the sum of its proper divisors (3321293814).

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

2313145386 is a wasteful number, since it uses less digits than its factorization.

2313145386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 179 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2313145386 is about 48095.1700901452. The cubic root of 2313145386 is about 1322.5161271280.

The spelling of 2313145386 in words is "two billion, three hundred thirteen million, one hundred forty-five thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 59 67 87 114 118 134 171 174 177 201 261 342 354 402 522 531 551 603 1062 1102 1121 1206 1273 1653 1711 1943 2242 2546 3306 3363 3422 3481 3819 3886 3953 4959 5133 5829 6726 6962 7638 7906 9918 10089 10266 10443 11457 11658 11859 15399 17487 20178 20886 22914 23718 30798 31329 32509 34974 35577 36917 62658 65018 66139 71154 73834 75107 97527 100949 110751 114637 132278 150214 195054 198417 201898 221502 225321 229274 233227 292581 302847 332253 343911 396834 450642 466454 585162 595251 605694 664506 675963 687822 699681 908541 1031733 1190502 1351926 1399362 1817082 1918031 2063466 2099043 2178103 3836062 4198086 4356206 4431313 5754093 6534309 6763583 8862626 11508186 13068618 13293939 13527166 17262279 19602927 20290749 26587878 34524558 39205854 39881817 40581498 60872247 79763634 121744494 128508077 257016154 385524231 771048462 1156572693 2313145386