| Base | Representation |
|---|---|
| bin | 110001001101111100101… |
| … | …000101000101001000000 |
| 3 | 102222100010102222210111000 |
| 4 | 301031330220220221000 |
| 5 | 420403301423221320 |
| 6 | 11105435233052000 |
| 7 | 466233551051265 |
| oct | 61157450505100 |
| 9 | 12870112883430 |
| 10 | 3382230288960 |
| 11 | 1094439907176 |
| 12 | 4675ba0b7000 |
| 13 | 1b6c3486b613 |
| 14 | b99b509726c |
| 15 | 5cea60c2c90 |
| hex | 3137ca28a40 |
3382230288960 has 448 divisors, whose sum is σ = 12658068460800. Its totient is φ = 847231156224.
The previous prime is 3382230288907. The next prime is 3382230288971. The reversal of 3382230288960 is 698820322833.
3382230288960 is a `hidden beast` number, since 3 + 382 + 230 + 28 + 8 + 9 + 6 + 0 = 666.
It is a super-2 number, since 2×33822302889602 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 3382230288897 and 3382230288906.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 76796226 + ... + 76840254.
It is an arithmetic number, because the mean of its divisors is an integer number (28254617100).
Almost surely, 23382230288960 is an apocalyptic number.
3382230288960 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 3382230288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329034230400).
3382230288960 is an abundant number, since it is smaller than the sum of its proper divisors (9275838171840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3382230288960 is a wasteful number, since it uses less digits than its factorization.
3382230288960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44595 (or 44579 counting only the distinct ones).
The product of its (nonzero) digits is 5971968, while the sum is 54.
The spelling of 3382230288960 in words is "three trillion, three hundred eighty-two billion, two hundred thirty million, two hundred eighty-eight thousand, nine hundred sixty".
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