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430424030034 = 234411032812239
BaseRepresentation
bin1100100001101110100…
…01010111101101010010
31112010222222202020020000
412100313101113231102
524023002022430114
6525422320430430
743045210614015
oct6206721275522
91463888666200
10430424030034
111565a6164479
126b504178416
133178680958b
1416b92a6937c
15b2e2880e09
hex6437457b52

430424030034 has 160 divisors (see below), whose sum is σ = 1001581701120. Its totient is φ = 138061324800.

The previous prime is 430424030027. The next prime is 430424030077. The reversal of 430424030034 is 430030424034.

430424030034 is a `hidden beast` number, since 4 + 304 + 24 + 0 + 300 + 34 = 666.

It is a super-5 number, since 5×4304240300345 (a number of 59 digits) contains 55555 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192238287 + ... + 192240525.

It is an arithmetic number, because the mean of its divisors is an integer number (6259885632).

Almost surely, 2430424030034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430424030034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500790850560).

430424030034 is an abundant number, since it is smaller than the sum of its proper divisors (571157671086).

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

430424030034 is a wasteful number, since it uses less digits than its factorization.

430424030034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 430424030034 its reverse (430030424034), we get a palindrome (860454454068).

It can be divided in two parts, 430 and 424030034, that added together give a square (424030464 = 205922).

The spelling of 430424030034 in words is "four hundred thirty billion, four hundred twenty-four million, thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 103 123 162 206 246 281 309 369 562 618 738 843 927 1107 1686 1854 2214 2239 2529 2781 3321 4223 4478 5058 5562 6642 6717 7587 8343 8446 11521 12669 13434 15174 16686 20151 22761 23042 25338 28943 34563 38007 40302 45522 57886 60453 69126 76014 86829 91799 103689 114021 120906 173658 181359 183598 207378 228042 230617 260487 275397 311067 342063 362718 461234 520974 550794 622134 629159 684126 691851 781461 826191 933201 1186663 1258318 1383702 1562922 1652382 1866402 1887477 2075553 2344383 2373326 2478573 3559989 3774954 4151106 4688766 4957146 5662431 6226659 7119978 7435719 9455297 10679967 11324862 12453318 14871438 16987293 18679977 18910594 21359934 25795519 28365891 32039901 33974586 37359954 50961879 51591038 56731782 64079802 64803377 77386557 85097673 96119703 101923758 129606754 154773114 170195346 192239406 194410131 232159671 255293019 388820262 464319342 510586038 583230393 696479013 765879057 1166460786 1392958026 1531758114 1749691179 2089437039 2656938457 3499382358 4178874078 5249073537 5313876914 7970815371 10498147074 15941630742 23912446113 47824892226 71737338339 143474676678 215212015017 430424030034