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12034400334 = 23112171138629
BaseRepresentation
bin10110011010100111…
…00110000001001110
31011001200211212201220
423031103212001032
5144121301302314
65310054544210
7604136500155
oct131523460116
934050755656
1012034400334
115116118100
1223ba368066
13119a31a658
1482241459c
154a67b83a9
hex2cd4e604e

12034400334 has 96 divisors (see below), whose sum is σ = 28263180960. Its totient is φ = 3401502720.

The previous prime is 12034400293. The next prime is 12034400341. The reversal of 12034400334 is 43300443021.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390332 + ... + 1398960.

It is an arithmetic number, because the mean of its divisors is an integer number (294408135).

Almost surely, 212034400334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12034400334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131590480).

12034400334 is an abundant number, since it is smaller than the sum of its proper divisors (16228780626).

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

12034400334 is a wasteful number, since it uses less digits than its factorization.

12034400334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12034400334 its reverse (43300443021), we get a palindrome (55334843355).

The spelling of 12034400334 in words is "twelve billion, thirty-four million, four hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 113 121 187 226 242 339 363 374 561 678 726 1122 1243 1921 2057 2486 3729 3842 4114 5763 6171 7458 8629 11526 12342 13673 17258 21131 25887 27346 41019 42262 51774 63393 82038 94919 126786 146693 189838 232441 284757 293386 440079 464882 569514 697323 880158 975077 1044109 1394646 1613623 1950154 2088218 2925231 3132327 3227246 4840869 5850462 6264654 9681738 10725847 16576309 17749853 21451694 32177541 33152618 35499706 49728927 53249559 64355082 99457854 106499118 117984317 182339399 235968634 353952951 364678798 547018197 707905902 1094036394 2005733389 4011466778 6017200167 12034400334