| Base | Representation |
|---|---|
| bin | 100111110000100… |
| … | …1000100011010000 |
| 3 | 10102222022120201200 |
| 4 | 1033201020203100 |
| 5 | 10213011221330 |
| 6 | 340214031200 |
| 7 | 45026354043 |
| oct | 11741104320 |
| 9 | 3388276650 |
| 10 | 1334085840 |
| 11 | 62506948a |
| 12 | 312948500 |
| 13 | 183510909 |
| 14 | c9274c5a |
| 15 | 7c1c4a60 |
| hex | 4f8488d0 |
1334085840 has 240 divisors, whose sum is σ = 4673607120. Its totient is φ = 340623360.
The previous prime is 1334085803. The next prime is 1334085853. The reversal of 1334085840 is 485804331.
1334085840 is a `hidden beast` number, since 1 + 33 + 40 + 8 + 584 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 248251536 + 1085834304 = 15756^2 + 32952^2 .
It is a tau number, because it is divible by the number of its divisors (240).
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 = 1334085795 and 1334085804.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3779104 + ... + 3779456.
It is an arithmetic number, because the mean of its divisors is an integer number (19473363).
Almost surely, 21334085840 is an apocalyptic number.
1334085840 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 1334085840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336803560).
1334085840 is an abundant number, since it is smaller than the sum of its proper divisors (3339521280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1334085840 is a wasteful number, since it uses less digits than its factorization.
1334085840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 582 (or 573 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 1334085840 is about 36525.1398354613. The cubic root of 1334085840 is about 1100.8494375458.
The spelling of 1334085840 in words is "one billion, three hundred thirty-four million, eighty-five thousand, eight hundred forty".
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