| Base | Representation |
|---|---|
| bin | 100110111011000… |
| … | …1001110001000000 |
| 3 | 10101000112210000000 |
| 4 | 1031312021301000 |
| 5 | 10133321311113 |
| 6 | 333333000000 |
| 7 | 44236111620 |
| oct | 11566116100 |
| 9 | 3330483000 |
| 10 | 1306041408 |
| 11 | 610254271 |
| 12 | 305483000 |
| 13 | 17a771a89 |
| 14 | c5654880 |
| 15 | 799d5373 |
| hex | 4dd89c40 |
1306041408 has 448 divisors, whose sum is σ = 4692131840. Its totient is φ = 352719360.
The previous prime is 1306041367. The next prime is 1306041421. The reversal of 1306041408 is 8041406031.
1306041408 is a `hidden beast` number, since 13 + 0 + 604 + 1 + 40 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 6.
It is a zygodrome in base 6.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30373035 + ... + 30373077.
Almost surely, 21306041408 is an apocalyptic number.
1306041408 is a gapful number since it is divisible by the number (18) 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 1306041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346065920).
1306041408 is an abundant number, since it is smaller than the sum of its proper divisors (3386090432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1306041408 is an frugal number, since it uses more digits than its factorization.
1306041408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114 (or 86 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 1306041408 is about 36139.1948997207. The cubic root of 1306041408 is about 1093.0809246136.
Adding to 1306041408 its reverse (8041406031), we get a palindrome (9347447439).
It can be divided in two parts, 1306041 and 408, that added together give a square (1306449 = 11432).
The spelling of 1306041408 in words is "one billion, three hundred six million, forty-one thousand, four hundred eight".
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