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24412204340 = 225171914992521
BaseRepresentation
bin10110101111000101…
…001010110100110100
32100000022212110202022
4112233011022310310
5344444011014330
615114222132312
71522646212256
oct265705126464
970008773668
1024412204340
11a398064497
124893721098
1323c0821934
141278299cd6
1597d2b5ae5
hex5af14ad34

24412204340 has 96 divisors (see below), whose sum is σ = 57198960000. Its totient is φ = 8697507840.

The previous prime is 24412204303. The next prime is 24412204363. The reversal of 24412204340 is 4340221442.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9682280 + ... + 9684800.

It is an arithmetic number, because the mean of its divisors is an integer number (595822500).

Almost surely, 224412204340 is an apocalyptic number.

24412204340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24412204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28599480000).

24412204340 is an abundant number, since it is smaller than the sum of its proper divisors (32786755660).

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

24412204340 is a wasteful number, since it uses less digits than its factorization.

24412204340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 24412204340 its reverse (4340221442), we get a palindrome (28752425782).

The spelling of 24412204340 in words is "twenty-four billion, four hundred twelve million, two hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1499 1615 2521 2998 3230 5042 5996 6460 7495 10084 12605 14990 25210 25483 28481 29980 42857 47899 50420 50966 56962 85714 95798 101932 113924 127415 142405 171428 191596 214285 239495 254830 284810 428570 478990 484177 509660 569620 814283 857140 957980 968354 1628566 1936708 2420885 3257132 3778979 4071415 4841770 7557958 8142830 9683540 15115916 16285660 18894895 37789790 64242643 71800601 75579580 128485286 143601202 256970572 287202404 321213215 359003005 642426430 718006010 1220610217 1284852860 1436012020 2441220434 4882440868 6103051085 12206102170 24412204340