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12340434435 = 357376075233
BaseRepresentation
bin10110111111000110…
…00001011000000011
31011212000201000121020
423133203001120003
5200233122400220
65400310200523
7614543650650
oct133743013003
934760630536
1012340434435
11526294304a
122484953143
13121884bb14
14850d18c27
154c35ba040
hex2df8c1603

12340434435 has 64 divisors (see below), whose sum is σ = 23217856512. Its totient is φ = 5478782976.

The previous prime is 12340434397. The next prime is 12340434479. The reversal of 12340434435 is 53443404321.

It is not a de Polignac number, because 12340434435 - 27 = 12340434307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12340434396 and 12340434405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355579 + ... + 2360811.

It is an arithmetic number, because the mean of its divisors is an integer number (362779008).

Almost surely, 212340434435 is an apocalyptic number.

12340434435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12340434435 is a deficient number, since it is larger than the sum of its proper divisors (10877422077).

12340434435 is a wasteful number, since it uses less digits than its factorization.

12340434435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 12340434435 its reverse (53443404321), we get a palindrome (65783838756).

The spelling of 12340434435 in words is "twelve billion, three hundred forty million, four hundred thirty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 37 105 111 185 259 555 607 777 1295 1821 3035 3885 4249 5233 9105 12747 15699 21245 22459 26165 36631 63735 67377 78495 109893 112295 157213 183155 193621 336885 471639 549465 580863 786065 968105 1355347 2358195 2904315 3176431 4066041 6776735 9529293 15882155 20330205 22235017 47646465 66705051 111175085 117527947 333525255 352583841 587639735 822695629 1762919205 2468086887 4113478145 12340434435