| Base | Representation |
|---|---|
| bin | 1100101011110111… |
| … | …0111111110010000 |
| 3 | 22210022111222111100 |
| 4 | 3022331313332100 |
| 5 | 23433213431210 |
| 6 | 1321521344400 |
| 7 | 150245605224 |
| oct | 31275677620 |
| 9 | 8708458440 |
| 10 | 3405217680 |
| 11 | 149817a497 |
| 12 | 7b0498100 |
| 13 | 423631a07 |
| 14 | 244368784 |
| 15 | 14de385c0 |
| hex | caf77f90 |
3405217680 has 180 divisors, whose sum is σ = 11689806492. Its totient is φ = 888322560.
The previous prime is 3405217679. The next prime is 3405217681. The reversal of 3405217680 is 867125043.
3405217680 is a `hidden beast` number, since 3 + 405 + 2 + 176 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (3405217679) and next prime (3405217681).
It can be written as a sum of positive squares in 2 ways, for example, as 2407668624 + 997549056 = 49068^2 + 31584^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (3405217681) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1589410 + ... + 1591550.
Almost surely, 23405217680 is an apocalyptic number.
3405217680 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 3405217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844903246).
3405217680 is an abundant number, since it is smaller than the sum of its proper divisors (8284588812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3405217680 is a wasteful number, since it uses less digits than its factorization.
3405217680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2254 (or 2198 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 3405217680 is about 58354.2430333905. The cubic root of 3405217680 is about 1504.4633988737.
The spelling of 3405217680 in words is "three billion, four hundred five million, two hundred seventeen thousand, six hundred eighty".
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