| Base | Representation |
|---|---|
| bin | 1011001011110101110… |
| … | …01111111100000000000 |
| 3 | 1100201222111210200212000 |
| 4 | 11211322321333200000 |
| 5 | 22244033403041000 |
| 6 | 452315041104000 |
| 7 | 36523443024060 |
| oct | 5457271774000 |
| 9 | 1321874720760 |
| 10 | 384314112000 |
| 11 | 138a9432a5a5 |
| 12 | 62596028000 |
| 13 | 2a318984300 |
| 14 | 1485ac393a0 |
| 15 | 9ee479d000 |
| hex | 597ae7f800 |
384314112000 has 2304 divisors, whose sum is σ = 1795646361600. Its totient is φ = 79360819200.
The previous prime is 384314111983. The next prime is 384314112001. The reversal of 384314112000 is 211413483.
384314112000 is a `hidden beast` number, since 3 + 8 + 43 + 1 + 411 + 200 + 0 = 666.
384314112000 is digitally balanced in base 4, 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 (2304).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (384314112001) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8176895977 + ... + 8176896023.
It is an arithmetic number, because the mean of its divisors is an integer number (779360400).
Almost surely, 2384314112000 is an apocalyptic number.
384314112000 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 384314112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897823180800).
384314112000 is an abundant number, since it is smaller than the sum of its proper divisors (1411332249600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
384314112000 is a wasteful number, since it uses less digits than its factorization.
384314112000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 126 (or 77 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
Adding to 384314112000 its reverse (211413483), we get a palindrome (384525525483).
The spelling of 384314112000 in words is "three hundred eighty-four billion, three hundred fourteen million, one hundred twelve thousand".
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