Base | Representation |
---|---|
bin | 10000111011110… |
… | …111000000100000 |
3 | 201210122011100000 |
4 | 100323313000200 |
5 | 1040214033024 |
6 | 44105500000 |
7 | 10020020241 |
oct | 2073670040 |
9 | 653564300 |
10 | 284127264 |
11 | 136423023 |
12 | 7b1a1600 |
13 | 46b31155 |
14 | 29a40cc8 |
15 | 19e25cc9 |
hex | 10ef7020 |
284127264 has 144 divisors (see below), whose sum is σ = 853070400. Its totient is φ = 93000960.
The previous prime is 284127227. The next prime is 284127269. The reversal of 284127264 is 462721482.
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 not an unprimeable number, because it can be changed into a prime (284127269) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474037 + ... + 474635.
It is an arithmetic number, because the mean of its divisors is an integer number (5924100).
Almost surely, 2284127264 is an apocalyptic number.
284127264 is a gapful number since it is divisible by the number (24) 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 284127264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).
284127264 is an abundant number, since it is smaller than the sum of its proper divisors (568943136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
284127264 is an equidigital number, since it uses as much as digits as its factorization.
284127264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 685 (or 665 counting only the distinct ones).
The product of its digits is 43008, while the sum is 36.
The square root of 284127264 is about 16856.0749879680. The cubic root of 284127264 is about 657.4120140375.
The spelling of 284127264 in words is "two hundred eighty-four million, one hundred twenty-seven thousand, two hundred sixty-four".
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