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12309312 = 263611051
BaseRepresentation
bin101110111101…
…001101000000
3212011101012110
4232331031000
511122344222
61115455320
7206425131
oct56751500
925141173
1012309312
116a48194
124157540
13271ca22
1418c5c88
15113230c
hexbbd340

12309312 has 56 divisors (see below), whose sum is σ = 33133792. Its totient is φ = 4032000.

The previous prime is 12309299. The next prime is 12309317. The reversal of 12309312 is 21390321.

It is a happy number.

12309312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12309317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11187 + ... + 12237.

Almost surely, 212309312 is an apocalyptic number.

12309312 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 12309312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566896).

12309312 is an abundant number, since it is smaller than the sum of its proper divisors (20824480).

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

12309312 is a wasteful number, since it uses less digits than its factorization.

12309312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12309312 is about 3508.4629113046. The cubic root of 12309312 is about 230.8932622821.

Adding to 12309312 its reverse (21390321), we get a palindrome (33699633).

It can be divided in two parts, 12309 and 312, that added together give a palindrome (12621).

The spelling of 12309312 in words is "twelve million, three hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1051 1464 1952 2102 2928 3153 3904 4204 5856 6306 8408 11712 12612 16816 25224 33632 50448 64111 67264 100896 128222 192333 201792 256444 384666 512888 769332 1025776 1538664 2051552 3077328 4103104 6154656 12309312