| Base | Representation |
|---|---|
| bin | 100111111000010… |
| … | …1100000000000000 |
| 3 | 10110020222201211000 |
| 4 | 1033300230000000 |
| 5 | 10220032210300 |
| 6 | 340441252000 |
| 7 | 45106125303 |
| oct | 11760540000 |
| 9 | 3406881730 |
| 10 | 1338163200 |
| 11 | 6273a3900 |
| 12 | 314194000 |
| 13 | 18430a75a |
| 14 | c9a16b3a |
| 15 | 7c72cc00 |
| hex | 4fc2c000 |
1338163200 has 540 divisors, whose sum is σ = 5403933640. Its totient is φ = 324403200.
The previous prime is 1338163193. The next prime is 1338163213. The reversal of 1338163200 is 23618331.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1338163200 is a `hidden beast` number, since 1 + 338 + 1 + 6 + 320 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (540).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121651195 + ... + 121651205.
Almost surely, 21338163200 is an apocalyptic number.
1338163200 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 1338163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701966820).
1338163200 is an abundant number, since it is smaller than the sum of its proper divisors (4065770440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1338163200 is an equidigital number, since it uses as much as digits as its factorization.
1338163200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 69 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The square root of 1338163200 is about 36580.9130558547. The cubic root of 1338163200 is about 1101.9698038395.
Multiplying 1338163200 by its sum of digits (27), we get a square (36130406400 = 1900802).
1338163200 divided by its sum of digits (27) gives a square (49561600 = 70402).
The spelling of 1338163200 in words is "one billion, three hundred thirty-eight million, one hundred sixty-three thousand, two hundred".
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