| Base | Representation |
|---|---|
| bin | 10110111001010… |
| … | …101011010000000 |
| 3 | 222202210202102200 |
| 4 | 112321111122000 |
| 5 | 1241314104030 |
| 6 | 102041113200 |
| 7 | 12343016400 |
| oct | 2671253200 |
| 9 | 882722380 |
| 10 | 384128640 |
| 11 | 187915595 |
| 12 | a8788800 |
| 13 | 6177546c |
| 14 | 39032800 |
| 15 | 23acad60 |
| hex | 16e55680 |
384128640 has 288 divisors, whose sum is σ = 1544140260. Its totient is φ = 87736320.
The previous prime is 384128639. The next prime is 384128663. The reversal of 384128640 is 46821483.
384128640 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 2 + 8 + 640 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 360392256 + 23736384 = 18984^2 + 4872^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 384128595 and 384128604.
It is a congruent number.
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 281560 + ... + 282920.
Almost surely, 2384128640 is an apocalyptic number.
384128640 is a gapful number since it is divisible by the number (30) 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 384128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772070130).
384128640 is an abundant number, since it is smaller than the sum of its proper divisors (1160011620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
384128640 is a wasteful number, since it uses less digits than its factorization.
384128640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1400 (or 1378 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 384128640 is about 19599.1999836728. The cubic root of 384128640 is about 726.9293927910.
The spelling of 384128640 in words is "three hundred eighty-four million, one hundred twenty-eight thousand, six hundred forty".
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