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12378312 = 2333173371
BaseRepresentation
bin101111001110…
…000011001000
3212021212212000
4233032003020
511132101222
61121151000
7210133242
oct57160310
925255760
1012378312
116a95011
12418b460
13274525b
141903092
1511479ac
hexbce0c8

12378312 has 64 divisors (see below), whose sum is σ = 36417600. Its totient is φ = 3882240.

The previous prime is 12378307. The next prime is 12378319. The reversal of 12378312 is 21387321.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12378319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 5357.

It is an arithmetic number, because the mean of its divisors is an integer number (569025).

Almost surely, 212378312 is an apocalyptic number.

12378312 is a gapful number since it is divisible by the number (12) 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 12378312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208800).

12378312 is an abundant number, since it is smaller than the sum of its proper divisors (24039288).

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

12378312 is a wasteful number, since it uses less digits than its factorization.

12378312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3393 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12378312 is about 3518.2825355562. The cubic root of 12378312 is about 231.3238836721.

Subtracting 12378312 from its reverse (21387321), we obtain a palindrome (9009009).

The spelling of 12378312 in words is "twelve million, three hundred seventy-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3371 3672 6742 10113 13484 20226 26968 30339 40452 57307 60678 80904 91017 114614 121356 171921 182034 229228 242712 343842 364068 458456 515763 687684 728136 1031526 1375368 1547289 2063052 3094578 4126104 6189156 12378312