Base | Representation |
---|---|
bin | 101111000101… |
… | …101011000000 |
3 | 212020010210012 |
4 | 233011223000 |
5 | 11130002000 |
6 | 1120324052 |
7 | 206631224 |
oct | 57055300 |
9 | 25203705 |
10 | 12344000 |
11 | 6a71259 |
12 | 4173628 |
13 | 2732756 |
14 | 18d4784 |
15 | 113c735 |
hex | bc5ac0 |
12344000 has 56 divisors (see below), whose sum is σ = 30589728. Its totient is φ = 4934400.
The previous prime is 12343979. The next prime is 12344041. The reversal of 12344000 is 44321.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 7229 + ... + 8771.
Almost surely, 212344000 is an apocalyptic number.
12344000 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 12344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294864).
12344000 is an abundant number, since it is smaller than the sum of its proper divisors (18245728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12344000 is an equidigital number, since it uses as much as digits as its factorization.
12344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1570 (or 1550 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 12344000 is about 3513.4029088620. The cubic root of 12344000 is about 231.1099468493.
Adding to 12344000 its reverse (44321), we get a palindrome (12388321).
The spelling of 12344000 in words is "twelve million, three hundred forty-four thousand".
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