| Base | Representation |
|---|---|
| bin | 11101000001000… |
| … | …10110000010000 |
| 3 | 121222000121110200 |
| 4 | 32200202300100 |
| 5 | 444303140414 |
| 6 | 40053055200 |
| 7 | 6013652634 |
| oct | 1640426020 |
| 9 | 558017420 |
| 10 | 243411984 |
| 11 | 115444032 |
| 12 | 69627500 |
| 13 | 3b576b7a |
| 14 | 24482dc4 |
| 15 | 16582109 |
| hex | e822c10 |
243411984 has 90 divisors (see below), whose sum is σ = 723767850. Its totient is φ = 76351488.
The previous prime is 243411977. The next prime is 243411997. The reversal of 243411984 is 489114342.
It is a happy number.
243411984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 78854400 + 164557584 = 8880^2 + 12828^2 .
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 congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38692 + ... + 44540.
It is an arithmetic number, because the mean of its divisors is an integer number (8041865).
Almost surely, 2243411984 is an apocalyptic number.
243411984 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 243411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361883925).
243411984 is an abundant number, since it is smaller than the sum of its proper divisors (480355866).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243411984 is a wasteful number, since it uses less digits than its factorization.
243411984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5897 (or 5871 counting only the distinct ones).
The product of its digits is 27648, while the sum is 36.
The square root of 243411984 is about 15601.6660648791. Note that the first 3 decimals coincide. The cubic root of 243411984 is about 624.3776067550.
The spelling of 243411984 in words is "two hundred forty-three million, four hundred eleven thousand, nine hundred eighty-four".
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