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12324312 = 23347111319
BaseRepresentation
bin101111000000…
…110111011000
3212012010210000
4233000313120
511123334222
61120053000
7206516640
oct57006730
925163700
1012324312
116a58490
124164160
1327267c0
1418cb520
1511369ac
hexbc0dd8

12324312 has 320 divisors, whose sum is σ = 48787200. Its totient is φ = 2799360.

The previous prime is 12324307. The next prime is 12324341. The reversal of 12324312 is 21342321.

12324312 is a `hidden beast` number, since 1 + 232 + 431 + 2 = 666.

12324312 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 (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648639 + ... + 648657.

It is an arithmetic number, because the mean of its divisors is an integer number (152460).

Almost surely, 212324312 is an apocalyptic number.

12324312 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 12324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24393600).

12324312 is an abundant number, since it is smaller than the sum of its proper divisors (36462888).

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

12324312 is a wasteful number, since it uses less digits than its factorization.

12324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12324312 is about 3510.5999487267. The cubic root of 12324312 is about 230.9870122568.

Adding to 12324312 its reverse (21342321), we get a palindrome (33666633).

Subtracting 12324312 from its reverse (21342321), we obtain a square (9018009 = 30032).

The spelling of 12324312 in words is "twelve million, three hundred twenty-four thousand, three hundred twelve".