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13343024340 = 22325313077789
BaseRepresentation
bin11000110110100111…
…00110010011010100
31021102220020212101200
430123103212103110
5204311303234330
610044003152500
7651436556412
oct143323462324
937386225350
1013343024340
115727875748
122704675730
131348484a99
1490813c2b2
1553160da60
hex31b4e64d4

13343024340 has 144 divisors (see below), whose sum is σ = 41920919040. Its totient is φ = 3431704320.

The previous prime is 13343024333. The next prime is 13343024347. The reversal of 13343024340 is 4342034331.

13343024340 is a `hidden beast` number, since 13 + 3 + 4 + 302 + 4 + 340 = 666.

13343024340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13343024333) and next prime (13343024347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13343024347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1709166 + ... + 1716954.

Almost surely, 213343024340 is an apocalyptic number.

13343024340 is a gapful number since it is divisible by the number (10) 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 13343024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20960459520).

13343024340 is an abundant number, since it is smaller than the sum of its proper divisors (28577894700).

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

13343024340 is a wasteful number, since it uses less digits than its factorization.

13343024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 13343024340 its reverse (4342034331), we get a palindrome (17685058671).

Subtracting from 13343024340 its reverse (4342034331), we obtain a palindrome (9000990009).

The spelling of 13343024340 in words is "thirteen billion, three hundred forty-three million, twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 307 310 372 465 558 614 620 921 930 1116 1228 1395 1535 1842 1860 2763 2790 3070 3684 4605 5526 5580 6140 7789 9210 9517 11052 13815 15578 18420 19034 23367 27630 28551 31156 38068 38945 46734 47585 55260 57102 70101 77890 85653 93468 95170 114204 116835 140202 142755 155780 171306 190340 233670 241459 280404 285510 342612 350505 428265 467340 482918 571020 701010 724377 856530 965836 1207295 1402020 1448754 1713060 2173131 2391223 2414590 2897508 3621885 4346262 4782446 4829180 7173669 7243770 8692524 9564892 10865655 11956115 14347338 14487540 21521007 21731310 23912230 28694676 35868345 43042014 43462620 47824460 71736690 74127913 86084028 107605035 143473380 148255826 215210070 222383739 296511652 370639565 430420140 444767478 667151217 741279130 889534956 1111918695 1334302434 1482558260 2223837390 2668604868 3335756085 4447674780 6671512170 13343024340