| Base | Representation |
|---|---|
| bin | 101111000101… |
| … | …110101000000 |
| 3 | 212020011122220 |
| 4 | 233011311000 |
| 5 | 11130012030 |
| 6 | 1120331040 |
| 7 | 206633130 |
| oct | 57056500 |
| 9 | 25204586 |
| 10 | 12344640 |
| 11 | 6a71790 |
| 12 | 4173a80 |
| 13 | 2732b29 |
| 14 | 18d4ac0 |
| 15 | 113ca10 |
| hex | bc5d40 |
12344640 has 224 divisors, whose sum is σ = 49158144. Its totient is φ = 2549760.
The previous prime is 12344627. The next prime is 12344641. The reversal of 12344640 is 4644321.
It is a tau number, because it is divible by the number of its divisors (224).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 12344640.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12344641) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 73837 + ... + 74003.
It is an arithmetic number, because the mean of its divisors is an integer number (219456).
Almost surely, 212344640 is an apocalyptic number.
12344640 is a gapful number since it is divisible by the number (10) 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 12344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072).
12344640 is an abundant number, since it is smaller than the sum of its proper divisors (36813504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12344640 is a wasteful number, since it uses less digits than its factorization.
12344640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 205 (or 195 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 12344640 is about 3513.4939874717. The cubic root of 12344640 is about 231.1139409033.
Adding to 12344640 its reverse (4644321), we get a palindrome (16988961).
The spelling of 12344640 in words is "twelve million, three hundred forty-four thousand, six hundred forty".
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