Base | Representation |
---|---|
bin | 110000011011… |
… | …111100000000 |
3 | 212220002111000 |
4 | 300123330000 |
5 | 11222303334 |
6 | 1132052000 |
7 | 212632332 |
oct | 60337400 |
9 | 25802430 |
10 | 12697344 |
11 | 7192780 |
12 | 4304000 |
13 | 282752a |
14 | 1987452 |
15 | 11ac299 |
hex | c1bf00 |
12697344 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3824640.
The previous prime is 12697343. The next prime is 12697367. The reversal of 12697344 is 44379621.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×126973442 = 322445089308672, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 12697299 and 12697308.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12697343) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75949 + ... + 76115.
It is an arithmetic number, because the mean of its divisors is an integer number (286160).
Almost surely, 212697344 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 12697344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).
12697344 is an abundant number, since it is smaller than the sum of its proper divisors (28509696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12697344 is a wasteful number, since it uses less digits than its factorization.
12697344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 203 (or 183 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 12697344 is about 3563.3332709698. Note that the first 3 decimals coincide. The cubic root of 12697344 is about 233.2943898726.
It can be divided in two parts, 12697 and 344, that added together give a triangular number (13041 = T161).
The spelling of 12697344 in words is "twelve million, six hundred ninety-seven thousand, three hundred forty-four".
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