| Base | Representation |
|---|---|
| bin | 10110110101100… |
| … | …010000001010000 |
| 3 | 222200221002221000 |
| 4 | 112311202001100 |
| 5 | 1241040203403 |
| 6 | 102003502000 |
| 7 | 12331365060 |
| oct | 2665420120 |
| 9 | 880832830 |
| 10 | 383131728 |
| 11 | 1872a45a1 |
| 12 | a8387900 |
| 13 | 614b6785 |
| 14 | 38c533a0 |
| 15 | 239807a3 |
| hex | 16d62050 |
383131728 has 320 divisors, whose sum is σ = 1338327040. Its totient is φ = 102643200.
The previous prime is 383131717. The next prime is 383131729. The reversal of 383131728 is 827131383.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 taxicab number since it can be written as a sum of two cubes in more than one way. Here 383131728 = 783 + 7263 = 2993 + 7093.
It is a junction number, because it is equal to n+sod(n) for n = 383131692 and 383131701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (383131729) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 5718351 + ... + 5718417.
It is an arithmetic number, because the mean of its divisors is an integer number (4182272).
Almost surely, 2383131728 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 383131728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669163520).
383131728 is an abundant number, since it is smaller than the sum of its proper divisors (955195312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
383131728 is a wasteful number, since it uses less digits than its factorization.
383131728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 183 (or 171 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 383131728 is about 19573.7509946356. The cubic root of 383131728 is about 726.2999921348.
The spelling of 383131728 in words is "three hundred eighty-three million, one hundred thirty-one thousand, seven hundred twenty-eight".
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