Search a number
-
+
534343335424304 = 247179726171105549
BaseRepresentation
bin111100101111110111000000…
…0101100100011000100110000
32121001221201112210010210001212
41321133232000230203010300
51030014140122332034204
65132241534532415252
7220360013656455530
oct17137560054430460
92531851483123055
10534343335424304
111452928105aa43a
124bb1b399a77528
1319c2048b815a63
1495d44d94134c0
1541b976a576c6e
hex1e5fb80b23130

534343335424304 has 160 divisors (see below), whose sum is σ = 1266188290012800. Its totient is φ = 213229749141504.

The previous prime is 534343335424231. The next prime is 534343335424351. The reversal of 534343335424304 is 403424533343435.

It is a happy number.

It is a super-2 number, since 2×5343433354243042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482775722 + ... + 483881270.

It is an arithmetic number, because the mean of its divisors is an integer number (7913676812580).

Almost surely, 2534343335424304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534343335424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633094145006400).

534343335424304 is an abundant number, since it is smaller than the sum of its proper divisors (731844954588496).

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

534343335424304 is a wasteful number, since it uses less digits than its factorization.

534343335424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108295 (or 1108289 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 50.

Adding to 534343335424304 its reverse (403424533343435), we get a palindrome (937767868767739).

The spelling of 534343335424304 in words is "five hundred thirty-four trillion, three hundred forty-three billion, three hundred thirty-five million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 97 112 119 136 194 238 272 388 476 679 776 952 1358 1552 1649 1904 2617 2716 3298 5234 5432 6596 10468 10864 11543 13192 18319 20936 23086 26384 36638 41872 44489 46172 73276 88978 92344 146552 177956 184688 253849 293104 311423 355912 507698 622846 711824 1015396 1105549 1245692 1776943 2030792 2211098 2491384 3553886 4061584 4315433 4422196 4982768 7107772 7738843 8630866 8844392 14215544 15477686 17261732 17688784 18794333 28431088 30208031 30955372 34523464 37588666 60416062 61910744 69046928 75177332 107238253 120832124 123821488 131560331 150354664 214476506 241664248 263120662 300709328 428953012 483328496 526241324 750667771 857906024 1052482648 1501335542 1715812048 1823050301 2104965296 2893221733 3002671084 3646100602 5786443466 6005342168 7292201204 11572886932 12010684336 12761352107 14584402408 20252552131 23145773864 25522704214 29168804816 40505104262 46291547728 49184769461 51045408428 81010208524 98369538922 102090816856 162020417048 196739077844 204181633712 280642508101 324040834096 344293386227 393478155688 561285016202 688586772454 786956311376 1122570032404 1377173544908 1964497556707 2245140064808 2754347089816 3928995113414 4490280129616 4770922637717 5508694179632 7857990226828 9541845275434 15715980453656 19083690550868 31431960907312 33396458464019 38167381101736 66792916928038 76334762203472 133585833856076 267171667712152 534343335424304