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12343312 = 241922137
BaseRepresentation
bin101111000101…
…100000010000
3212020002211201
4233011200100
511124441222
61120320544
7206626222
oct57054020
925202751
1012343312
116a70793
124173154
132732347
1418d4412
15113c427
hexbc5810

12343312 has 30 divisors (see below), whose sum is σ = 25251918. Its totient is φ = 5844096.

The previous prime is 12343291. The next prime is 12343313. The reversal of 12343312 is 21334321.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 4857616 = 2736^2 + 2204^2 .

It is a super-2 number, since 2×123433122 = 304714702258688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 12343312.

It is not an unprimeable number, because it can be changed into a prime (12343313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4708 + ... + 6844.

Almost surely, 212343312 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 12343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625959).

12343312 is an abundant number, since it is smaller than the sum of its proper divisors (12908606).

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

12343312 is a wasteful number, since it uses less digits than its factorization.

12343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2158 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 12343312 is about 3513.3049967232. The cubic root of 12343312 is about 231.1056530872.

Adding to 12343312 its reverse (21334321), we get a palindrome (33677633).

The spelling of 12343312 in words is "twelve million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2137 2888 4274 5776 8548 17096 34192 40603 81206 162412 324824 649648 771457 1542914 3085828 6171656 12343312