| Base | Representation |
|---|---|
| bin | 1110001111100001… |
| … | …1111111000001000 |
| 3 | 100212110002122111000 |
| 4 | 3203320133320020 |
| 5 | 30312222114124 |
| 6 | 1431213135000 |
| 7 | 163512664260 |
| oct | 34370377010 |
| 9 | 10773078430 |
| 10 | 3823238664 |
| 11 | 1692133883 |
| 12 | 8a848a460 |
| 13 | 48c1129cb |
| 14 | 283aa07a0 |
| 15 | 1759ab6c9 |
| hex | e3e1fe08 |
3823238664 has 512 divisors, whose sum is σ = 13934592000. Its totient is φ = 945229824.
The previous prime is 3823238659. The next prime is 3823238669. The reversal of 3823238664 is 4668323283.
3823238664 is a `hidden beast` number, since 38 + 232 + 386 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (3823238659) and next prime (3823238669).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (3823238669) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17144457 + ... + 17144679.
It is an arithmetic number, because the mean of its divisors is an integer number (27216000).
Almost surely, 23823238664 is an apocalyptic number.
3823238664 is a gapful number since it is divisible by the number (34) 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 3823238664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296000).
3823238664 is an abundant number, since it is smaller than the sum of its proper divisors (10111353336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3823238664 is a wasteful number, since it uses less digits than its factorization.
3823238664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 314 (or 304 counting only the distinct ones).
The product of its digits is 995328, while the sum is 45.
The square root of 3823238664 is about 61832.3431870409. The cubic root of 3823238664 is about 1563.6653162797.
The spelling of 3823238664 in words is "three billion, eight hundred twenty-three million, two hundred thirty-eight thousand, six hundred sixty-four".
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