| Base | Representation |
|---|---|
| bin | 10000111011011… |
| … | …111101101100000 |
| 3 | 201210110022102210 |
| 4 | 100323133231200 |
| 5 | 1040203004330 |
| 6 | 44103442120 |
| 7 | 10016142111 |
| oct | 2073375540 |
| 9 | 653408383 |
| 10 | 284031840 |
| 11 | 136368364 |
| 12 | 7b156340 |
| 13 | 46ac98a1 |
| 14 | 29a18208 |
| 15 | 19e078b0 |
| hex | 10edfb60 |
284031840 has 96 divisors (see below), whose sum is σ = 900637920. Its totient is φ = 75239424.
The previous prime is 284031833. The next prime is 284031859. The reversal of 284031840 is 48130482.
284031840 is digitally balanced in base 3, 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 (96).
It is a super-2 number, since 2×2840318402 = 161348172267571200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 284031798 and 284031807.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73476 + ... + 77244.
It is an arithmetic number, because the mean of its divisors is an integer number (9381645).
Almost surely, 2284031840 is an apocalyptic number.
284031840 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 284031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450318960).
284031840 is an abundant number, since it is smaller than the sum of its proper divisors (616606080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
284031840 is a wasteful number, since it uses less digits than its factorization.
284031840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3944 (or 3936 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 30.
The square root of 284031840 is about 16853.2441980765. The cubic root of 284031840 is about 657.3384086310.
The spelling of 284031840 in words is "two hundred eighty-four million, thirty-one thousand, eight hundred forty".
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