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34241410430244 = 223223472579341171
BaseRepresentation
bin1111100100100011100110…
…00110101111010100100100
311111020110001202200221222100
413302101303012233110210
513442002402032231434
6200454141540332100
710132601033243553
oct762216306572444
9144213052627870
1034241410430244
11aa01778574a96
123a1026b0a4030
131614c4989a4c4
14865416403d9a
153e5a6e945699
hex1f24731af524

34241410430244 has 144 divisors (see below), whose sum is σ = 92275617208320. Its totient is φ = 10681088341440.

The previous prime is 34241410430243. The next prime is 34241410430323. The reversal of 34241410430244 is 44203401414243.

34241410430244 is a `hidden beast` number, since 3 + 4 + 241 + 4 + 104 + 302 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34241410430199 and 34241410430208.

It is not an unprimeable number, because it can be changed into a prime (34241410430243) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 100193779 + ... + 100534949.

It is an arithmetic number, because the mean of its divisors is an integer number (640802897280).

Almost surely, 234241410430244 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 34241410430244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46137808604160).

34241410430244 is an abundant number, since it is smaller than the sum of its proper divisors (58034206778076).

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

34241410430244 is a wasteful number, since it uses less digits than its factorization.

34241410430244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343830 (or 343825 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34241410430244 its reverse (44203401414243), we get a palindrome (78444811844487).

The spelling of 34241410430244 in words is "thirty-four trillion, two hundred forty-one billion, four hundred ten million, four hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 138 141 188 207 276 282 414 423 564 828 846 1081 1692 2162 2579 3243 4324 5158 6486 7737 9729 10316 12972 15474 19458 23211 30948 38916 46422 59317 92844 118634 121213 177951 237268 242426 341171 355902 363639 484852 533853 682342 711804 727278 1023513 1067706 1090917 1364684 1454556 2047026 2135412 2181834 2787899 3070539 4094052 4363668 5575798 6141078 7846933 8363697 11151596 12282156 15693866 16035037 16727394 23540799 25091091 31387732 32070074 33454788 47081598 48105111 50182182 64140148 70622397 94163196 96210222 100364364 141244794 144315333 192420444 282489588 288630666 368805851 577261332 737611702 879880009 1106417553 1475223404 1759760018 2212835106 2639640027 3319252659 3519520036 4425670212 5279280054 6638505318 7918920081 10558560108 13277010636 15837840162 20237240207 31675680324 40474480414 41354360423 60711720621 80948960828 82708720846 121423441242 124063081269 165417441692 182135161863 242846882484 248126162538 364270323726 372189243807 496252325076 728540647452 744378487614 951150289729 1488756975228 1902300579458 2853450869187 3804601158916 5706901738374 8560352607561 11413803476748 17120705215122 34241410430244