| Base | Representation |
|---|---|
| bin | 1100100111001110… |
| … | …0011001010000000 |
| 3 | 22201221212002120200 |
| 4 | 3021303203022000 |
| 5 | 23413221440020 |
| 6 | 1315544005200 |
| 7 | 146621155623 |
| oct | 31163431200 |
| 9 | 8657762520 |
| 10 | 3385733760 |
| 11 | 1488181982 |
| 12 | 7a5a60800 |
| 13 | 41c59c476 |
| 14 | 241935dba |
| 15 | 14c38a590 |
| hex | c9ce3280 |
3385733760 has 192 divisors, whose sum is σ = 12095109000. Its totient is φ = 871686144.
The previous prime is 3385733723. The next prime is 3385733773. The reversal of 3385733760 is 673375833.
3385733760 is a `hidden beast` number, since 3 + 3 + 8 + 573 + 3 + 76 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3076255296 + 309478464 = 55464^2 + 17592^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×33857337602 = 22926386187207475200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 23 ways as a sum of consecutive naturals, for example, 156906 + ... + 177174.
Almost surely, 23385733760 is an apocalyptic number.
3385733760 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 3385733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047554500).
3385733760 is an abundant number, since it is smaller than the sum of its proper divisors (8709375240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3385733760 is a wasteful number, since it uses less digits than its factorization.
3385733760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20323 (or 20308 counting only the distinct ones).
The product of its (nonzero) digits is 952560, while the sum is 45.
The square root of 3385733760 is about 58187.0583549297. The cubic root of 3385733760 is about 1501.5885038432.
The spelling of 3385733760 in words is "three billion, three hundred eighty-five million, seven hundred thirty-three thousand, seven hundred sixty".
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