Base | Representation |
---|---|
bin | 110110010011… |
… | …010101100000 |
3 | 222210012201100 |
4 | 312103111200 |
5 | 12121004401 |
6 | 1225034400 |
7 | 231665250 |
oct | 66232540 |
9 | 28705640 |
10 | 14234976 |
11 | 8042a48 |
12 | 4925a00 |
13 | 2c45382 |
14 | 1c67960 |
15 | 13b2b86 |
hex | d93560 |
14234976 has 144 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 3877632.
The previous prime is 14234951. The next prime is 14234977. The reversal of 14234976 is 67943241.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 14234976.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14234977) 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 23 ways as a sum of consecutive naturals, for example, 46215 + ... + 46521.
It is an arithmetic number, because the mean of its divisors is an integer number (336336).
Almost surely, 214234976 is an apocalyptic number.
14234976 is a gapful number since it is divisible by the number (16) 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 14234976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).
14234976 is an abundant number, since it is smaller than the sum of its proper divisors (34197408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14234976 is a wasteful number, since it uses less digits than its factorization.
14234976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 353 (or 342 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 14234976 is about 3772.9267154293. The cubic root of 14234976 is about 242.3551464242.
The spelling of 14234976 in words is "fourteen million, two hundred thirty-four thousand, nine hundred seventy-six".
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