| Base | Representation |
|---|---|
| bin | 100110111011111… |
| … | …0101111110100000 |
| 3 | 10101001101022000000 |
| 4 | 1031313311332200 |
| 5 | 10133430002030 |
| 6 | 333350300000 |
| 7 | 44242636056 |
| oct | 11567657640 |
| 9 | 3331338000 |
| 10 | 1306484640 |
| 11 | 61052727a |
| 12 | 305657600 |
| 13 | 17a898746 |
| 14 | c572c1d6 |
| 15 | 79a71860 |
| hex | 4ddf5fa0 |
1306484640 has 336 divisors, whose sum is σ = 4838859648. Its totient is φ = 332563968.
The previous prime is 1306484581. The next prime is 1306484671. The reversal of 1306484640 is 464846031.
1306484640 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 8 + 4 + 640 = 666.
It is a super-2 number, since 2×13064846402 = 3413804229111859200, which contains 22 as substring.
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 = 1306484595 and 1306484604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2682477 + ... + 2682963.
It is an arithmetic number, because the mean of its divisors is an integer number (14401368).
Almost surely, 21306484640 is an apocalyptic number.
1306484640 is a gapful number since it is divisible by the number (10) 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 1306484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419429824).
1306484640 is an abundant number, since it is smaller than the sum of its proper divisors (3532375008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1306484640 is an equidigital number, since it uses as much as digits as its factorization.
1306484640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 543 (or 520 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 1306484640 is about 36145.3266688793. The cubic root of 1306484640 is about 1093.2045637888.
The spelling of 1306484640 in words is "one billion, three hundred six million, four hundred eighty-four thousand, six hundred forty".
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