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12004343344 = 247374676203
BaseRepresentation
bin10110010111000001…
…11011111000110000
31010222121021211022001
423023200323320300
5144041102441334
65303102423344
7603323143360
oct131340737060
933877254261
1012004343344
115100158914
1223b0291b54
131194025756
1481c42c9a0
154a3d2c714
hex2cb83be30

12004343344 has 80 divisors (see below), whose sum is σ = 27362320128. Its totient is φ = 4994148096.

The previous prime is 12004343303. The next prime is 12004343357. The reversal of 12004343344 is 44334340021.

12004343344 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 (28).

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 15 ways as a sum of consecutive naturals, for example, 1932147 + ... + 1938349.

Almost surely, 212004343344 is an apocalyptic number.

12004343344 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 12004343344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681160064).

12004343344 is an abundant number, since it is smaller than the sum of its proper divisors (15357976784).

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

12004343344 is a wasteful number, since it uses less digits than its factorization.

12004343344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 12004343344 its reverse (44334340021), we get a palindrome (56338683365).

The spelling of 12004343344 in words is "twelve billion, four million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 467 518 592 934 1036 1868 2072 3269 3736 4144 6203 6538 7472 12406 13076 17279 24812 26152 34558 43421 49624 52304 69116 86842 99248 120953 138232 173684 229511 241906 276464 347368 459022 483812 694736 918044 967624 1606577 1836088 1935248 2896801 3213154 3672176 5793602 6426308 11587204 12852616 20277607 23174408 25705232 40555214 46348816 81110428 107181637 162220856 214363274 324441712 428726548 750271459 857453096 1500542918 1714906192 3001085836 6002171672 12004343344