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12328288 = 257471171
BaseRepresentation
bin101111000001…
…110101100000
3212012100020021
4233001311200
511124001123
61120123224
7206534350
oct57016540
925170207
1012328288
116a60475
124166514
13272855b
1418ccb60
151137c5d
hexbc1d60

12328288 has 48 divisors (see below), whose sum is σ = 28353024. Its totient is φ = 5166720.

The previous prime is 12328273. The next prime is 12328291. The reversal of 12328288 is 88282321.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9943 + ... + 11113.

It is an arithmetic number, because the mean of its divisors is an integer number (590688).

Almost surely, 212328288 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 12328288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176512).

12328288 is an abundant number, since it is smaller than the sum of its proper divisors (16024736).

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

12328288 is a wasteful number, since it uses less digits than its factorization.

12328288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1227 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 12328288 is about 3511.1661880350. The cubic root of 12328288 is about 231.0118494949.

The spelling of 12328288 in words is "twelve million, three hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1171 1316 1504 2342 2632 4684 5264 8197 9368 10528 16394 18736 32788 37472 55037 65576 110074 131152 220148 262304 385259 440296 770518 880592 1541036 1761184 3082072 6164144 12328288