Base | Representation |
---|---|
bin | 111111111000… |
… | …001110000000 |
3 | 1011111202021221 |
4 | 333320032000 |
5 | 13241322334 |
6 | 1354524424 |
7 | 262222150 |
oct | 77701600 |
9 | 34452257 |
10 | 16745344 |
11 | 94a8030 |
12 | 5736714 |
13 | 3613bb5 |
14 | 231c760 |
15 | 170b8b4 |
hex | ff8380 |
16745344 has 64 divisors (see below), whose sum is σ = 41616000. Its totient is φ = 6520320.
The previous prime is 16745303. The next prime is 16745347. The reversal of 16745344 is 44354761.
16745344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16745347) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9007 + ... + 10705.
It is an arithmetic number, because the mean of its divisors is an integer number (650250).
Almost surely, 216745344 is an apocalyptic number.
16745344 is a gapful number since it is divisible by the number (14) 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 16745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808000).
16745344 is an abundant number, since it is smaller than the sum of its proper divisors (24870656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16745344 is a wasteful number, since it uses less digits than its factorization.
16745344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1731 (or 1719 counting only the distinct ones).
The product of its digits is 40320, while the sum is 34.
The square root of 16745344 is about 4092.1075254690. The cubic root of 16745344 is about 255.8377878624.
The spelling of 16745344 in words is "sixteen million, seven hundred forty-five thousand, three hundred forty-four".
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