| Base | Representation |
|---|---|
| bin | 1100101111100101… |
| … | …1100110110000000 |
| 3 | 22211101220102201000 |
| 4 | 3023321130312000 |
| 5 | 24001213211300 |
| 6 | 1323240212000 |
| 7 | 150525422316 |
| oct | 31371346600 |
| 9 | 8741812630 |
| 10 | 3420835200 |
| 11 | 14a5a77132 |
| 12 | 7b576a000 |
| 13 | 42693c453 |
| 14 | 2464720b6 |
| 15 | 1504c0c00 |
| hex | cbe5cd80 |
3420835200 has 576 divisors, whose sum is σ = 13396129200. Its totient is φ = 852295680.
The previous prime is 3420835199. The next prime is 3420835207. The reversal of 3420835200 is 25380243.
3420835200 is a `hidden beast` number, since 3 + 420 + 8 + 35 + 200 = 666.
3420835200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×34208352002 = 23404226931118080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3420835207) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24969532 + ... + 24969668.
Almost surely, 23420835200 is an apocalyptic number.
3420835200 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 3420835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698064600).
3420835200 is an abundant number, since it is smaller than the sum of its proper divisors (9975294000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3420835200 is a wasteful number, since it uses less digits than its factorization.
3420835200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 204 (or 164 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 3420835200 is about 58487.9064422723. The cubic root of 3420835200 is about 1506.7598901603.
The spelling of 3420835200 in words is "three billion, four hundred twenty million, eight hundred thirty-five thousand, two hundred".
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