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12342324024 = 2333479119291
BaseRepresentation
bin10110111111010100…
…01110101100111000
31011212011021000122000
423133222032230320
5200234113332044
65400414501000
7614566010652
oct133752165470
934764230560
1012342324024
115263a13798
122485504760
131219060c14
1485128b6d2
154c383ed69
hex2dfa8eb38

12342324024 has 64 divisors (see below), whose sum is σ = 34356096000. Its totient is φ = 4105484640.

The previous prime is 12342324023. The next prime is 12342324073. The reversal of 12342324024 is 42042324321.

12342324024 is a `hidden beast` number, since 1 + 23 + 4 + 232 + 402 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342324023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43819 + ... + 163109.

It is an arithmetic number, because the mean of its divisors is an integer number (536814000).

Almost surely, 212342324024 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 12342324024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17178048000).

12342324024 is an abundant number, since it is smaller than the sum of its proper divisors (22013771976).

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

12342324024 is a wasteful number, since it uses less digits than its factorization.

12342324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119785 (or 119775 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12342324024 its reverse (42042324321), we get a palindrome (54384648345).

The spelling of 12342324024 in words is "twelve billion, three hundred forty-two million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 479 958 1437 1916 2874 3832 4311 5748 8622 11496 12933 17244 25866 34488 51732 103464 119291 238582 357873 477164 715746 954328 1073619 1431492 2147238 2862984 3220857 4294476 6441714 8588952 12883428 25766856 57140389 114280778 171421167 228561556 342842334 457123112 514263501 685684668 1028527002 1371369336 1542790503 2057054004 3085581006 4114108008 6171162012 12342324024