Base | Representation |
---|---|
bin | 110110101101… |
… | …111101000000 |
3 | 222222202021021 |
4 | 312231331000 |
5 | 12133002000 |
6 | 1231235224 |
7 | 232631146 |
oct | 66557500 |
9 | 28882237 |
10 | 14344000 |
11 | 8107950 |
12 | 4978b14 |
13 | 2c82b98 |
14 | 1c95596 |
15 | 13d511a |
hex | dadf40 |
14344000 has 112 divisors (see below), whose sum is σ = 38990016. Its totient is φ = 5184000.
The previous prime is 14343997. The next prime is 14344003. The reversal of 14344000 is 44341.
It is an interprime number because it is at equal distance from previous prime (14343997) and next prime (14344003).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14344003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87919 + ... + 88081.
Almost surely, 214344000 is an apocalyptic number.
14344000 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 14344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19495008).
14344000 is an abundant number, since it is smaller than the sum of its proper divisors (24646016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14344000 is a wasteful number, since it uses less digits than its factorization.
14344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201 (or 181 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 14344000 is about 3787.3473566601. The cubic root of 14344000 is about 242.9722966832.
Adding to 14344000 its reverse (44341), we get a palindrome (14388341).
The spelling of 14344000 in words is "fourteen million, three hundred forty-four thousand".
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