Search a number
-
+
34305459111 = 327112171012621
BaseRepresentation
bin11111111100110000…
…111100001110100111
310021112210202212221200
4133330300330032213
51030224144142421
623432033013543
72323056406530
oct377460741647
9107483685850
1034305459111
11136045a0200
1267949b42b3
133309376341
141936193687
15d5bada726
hex7fcc3c3a7

34305459111 has 144 divisors (see below), whose sum is σ = 66587137344. Its totient is φ = 16600320000.

The previous prime is 34305459091. The next prime is 34305459157. The reversal of 34305459111 is 11195450343.

34305459111 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 54 + 591 + 11 = 666.

It is not a de Polignac number, because 34305459111 - 26 = 34305459047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305459161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13087381 + ... + 13090001.

It is an arithmetic number, because the mean of its divisors is an integer number (462410676).

Almost surely, 234305459111 is an apocalyptic number.

34305459111 is a deficient number, since it is larger than the sum of its proper divisors (32281678233).

34305459111 is a wasteful number, since it uses less digits than its factorization.

34305459111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 34305459111 in words is "thirty-four billion, three hundred five million, four hundred fifty-nine thousand, one hundred eleven".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 101 119 121 153 187 231 303 357 363 561 693 707 847 909 1071 1089 1111 1309 1683 1717 2057 2121 2541 2621 3333 3927 5151 6171 6363 7623 7777 7863 9999 11781 12019 12221 14399 15453 18347 18513 18887 23331 23589 28831 36057 36663 43197 44557 55041 56661 69993 85547 86493 108171 109989 129591 132209 133671 165123 169983 201817 207757 256641 259479 264721 311899 317141 396627 401013 490127 605451 623271 769923 794163 935697 951423 1189881 1454299 1470381 1816353 1853047 1869813 2219987 2382489 2807091 2854269 2911931 3430889 4362897 4411143 4500257 5391397 5559141 6659961 8735793 10292667 13088691 13500771 16174191 16677423 19979883 20383517 26207379 30878001 31501799 32031241 37739779 40502313 48522573 49502827 61150551 94505397 96093723 113219337 148508481 183451653 224218687 283516191 288281169 339658011 346519789 445525443 544531097 672656061 1039559367 1633593291 2017968183 3118678101 3811717679 4900779873 11435153037 34305459111