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2343541005 = 34513617297
BaseRepresentation
bin1000101110101111…
…1001100100001101
320001022210012220000
42023223321210031
514244421303010
61024314114513
7112034525031
oct21353714415
96038705800
102343541005
11aa2960053
12554a1ba39
132b46ab670
141833641c1
15dab227c0
hex8baf990d

2343541005 has 80 divisors (see below), whose sum is σ = 4598966064. Its totient is φ = 1134673920.

The previous prime is 2343540977. The next prime is 2343541019. The reversal of 2343541005 is 5001453432.

It can be written as a sum of positive squares in 8 ways, for example, as 857669796 + 1485871209 = 29286^2 + 38547^2 .

It is not a de Polignac number, because 2343541005 - 27 = 2343540877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2343541005.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 317517 + ... + 324813.

Almost surely, 22343541005 is an apocalyptic number.

It is an amenable number.

2343541005 is a deficient number, since it is larger than the sum of its proper divisors (2255425059).

2343541005 is a wasteful number, since it uses less digits than its factorization.

2343541005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2343541005 is about 48410.1332883932. The cubic root of 2343541005 is about 1328.2837275797.

Adding to 2343541005 its reverse (5001453432), we get a palindrome (7344994437).

The spelling of 2343541005 in words is "two billion, three hundred forty-three million, five hundred forty-one thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 61 65 81 117 135 183 195 305 351 405 549 585 793 915 1053 1647 1755 2379 2745 3965 4941 5265 7137 7297 8235 11895 21411 21891 24705 35685 36485 64233 65673 94861 107055 109455 197019 284583 321165 328365 445117 474305 591057 853749 985095 1335351 1422915 2225585 2561247 2955285 4006053 4268745 5786521 6676755 7683741 12018159 12806235 17359563 20030265 28932605 36054477 38418705 52078689 60090795 86797815 156236067 180272385 260393445 468708201 781180335 2343541005