| Base | Representation |
|---|---|
| bin | 10000111100011… |
| … | …101010010110000 |
| 3 | 201210221010110000 |
| 4 | 100330131102300 |
| 5 | 1040234042310 |
| 6 | 44113110000 |
| 7 | 10021242363 |
| oct | 2074352260 |
| 9 | 653833400 |
| 10 | 284284080 |
| 11 | 13651a923 |
| 12 | 7b258300 |
| 13 | 46b87642 |
| 14 | 29a820da |
| 15 | 19e574c0 |
| hex | 10f1d4b0 |
284284080 has 200 divisors, whose sum is σ = 1039777200. Its totient is φ = 71788032.
The previous prime is 284284019. The next prime is 284284087. The reversal of 284284080 is 80482482.
It is a super-3 number, since 3×2842840803 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (284284087) 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 39 ways as a sum of consecutive naturals, for example, 121966 + ... + 124274.
It is an arithmetic number, because the mean of its divisors is an integer number (5198886).
Almost surely, 2284284080 is an apocalyptic number.
284284080 is a gapful number since it is divisible by the number (20) 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 284284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519888600).
284284080 is an abundant number, since it is smaller than the sum of its proper divisors (755493120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
284284080 is a wasteful number, since it uses less digits than its factorization.
284284080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2353 (or 2338 counting only the distinct ones).
The product of its (nonzero) digits is 32768, while the sum is 36.
The square root of 284284080 is about 16860.7259630183. The cubic root of 284284080 is about 657.5329384435.
It can be divided in two parts, 2842840 and 80, that added together give a triangular number (2842920 = T2384).
The spelling of 284284080 in words is "two hundred eighty-four million, two hundred eighty-four thousand, eighty".
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