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12340210344 = 23371141915937
BaseRepresentation
bin10110111111000100…
…01010101010101000
31011212000021122012120
423133202022222220
5200233043212334
65400301311240
7614542025430
oct133742125250
934760248176
1012340210344
1152627aa750
122484865520
1312187a0b17
14850c9b2c0
154c3573949
hex2df88aaa8

12340210344 has 128 divisors (see below), whose sum is σ = 38557209600. Its totient is φ = 3197399040.

The previous prime is 12340210327. The next prime is 12340210357. The reversal of 12340210344 is 44301204321.

12340210344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 766344 + ... + 782280.

It is an arithmetic number, because the mean of its divisors is an integer number (301228200).

Almost surely, 212340210344 is an apocalyptic number.

12340210344 is a gapful number since it is divisible by the number (14) 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 12340210344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278604800).

12340210344 is an abundant number, since it is smaller than the sum of its proper divisors (26216999256).

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

12340210344 is a wasteful number, since it uses less digits than its factorization.

12340210344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16383 (or 16379 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12340210344 its reverse (44301204321), we get a palindrome (56641414665).

The spelling of 12340210344 in words is "twelve billion, three hundred forty million, two hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 419 462 616 838 924 1257 1676 1848 2514 2933 3352 4609 5028 5866 8799 9218 10056 11732 13827 15937 17598 18436 23464 27654 31874 32263 35196 36872 47811 55308 63748 64526 70392 95622 96789 110616 111559 127496 129052 175307 191244 193578 223118 258104 334677 350614 382488 387156 446236 525921 669354 701228 774312 892472 1051842 1227149 1338708 1402456 2103684 2454298 2677416 3681447 4207368 4908596 6677603 7362894 9817192 13355206 14725788 20032809 26710412 29451576 40065618 46743221 53420824 73453633 80131236 93486442 140229663 146907266 160262472 186972884 220360899 280459326 293814532 373945768 440721798 514175431 560918652 587629064 881443596 1028350862 1121837304 1542526293 1762887192 2056701724 3085052586 4113403448 6170105172 12340210344