| Base | Representation |
|---|---|
| bin | 11101000001000… |
| … | …11010110100000 |
| 3 | 121222000201211100 |
| 4 | 32200203112200 |
| 5 | 444303230212 |
| 6 | 40053114400 |
| 7 | 6013663032 |
| oct | 1640432640 |
| 9 | 558021740 |
| 10 | 243414432 |
| 11 | 115445958 |
| 12 | 69628a00 |
| 13 | 3b578011 |
| 14 | 24483c52 |
| 15 | 16582bdc |
| hex | e8235a0 |
243414432 has 144 divisors (see below), whose sum is σ = 742996800. Its totient is φ = 75319296.
The previous prime is 243414397. The next prime is 243414463. The reversal of 243414432 is 234414342.
It is a happy number.
243414432 is a `hidden beast` number, since 243 + 414 + 4 + 3 + 2 = 666.
243414432 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 (144).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 243414396 and 243414405.
It is an unprimeable number.
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, 406069 + ... + 406667.
It is an arithmetic number, because the mean of its divisors is an integer number (5159700).
Almost surely, 2243414432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 243414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371498400).
243414432 is an abundant number, since it is smaller than the sum of its proper divisors (499582368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
243414432 is a wasteful number, since it uses less digits than its factorization.
243414432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 715 (or 704 counting only the distinct ones).
The product of its digits is 9216, while the sum is 27.
The square root of 243414432 is about 15601.7445178416. The cubic root of 243414432 is about 624.3796998747.
Adding to 243414432 its reverse (234414342), we get a palindrome (477828774).
The spelling of 243414432 in words is "two hundred forty-three million, four hundred fourteen thousand, four hundred thirty-two".
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