| Base | Representation |
|---|---|
| bin | 10110110111111… |
| … | …101011000100100 |
| 3 | 222202010102212100 |
| 4 | 112313331120210 |
| 5 | 1241221034400 |
| 6 | 102025252100 |
| 7 | 12336655302 |
| oct | 2667753044 |
| 9 | 882112770 |
| 10 | 383768100 |
| 11 | 187699721 |
| 12 | a8634030 |
| 13 | 6167a321 |
| 14 | 38d7b272 |
| 15 | 23a59100 |
| hex | 16dfd624 |
383768100 has 81 divisors (see below), whose sum is σ = 1204744723. Its totient is φ = 102181440.
The previous prime is 383768083. The next prime is 383768123. The reversal of 383768100 is 1867383.
The square root of 383768100 is 19590.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 64931364 + 318836736 = 8058^2 + 17856^2 .
It is a super-2 number, since 2×3837681002 = 294555909155220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 587374 + ... + 588026.
Almost surely, 2383768100 is an apocalyptic number.
383768100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
383768100 is the 19590-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 383768100
383768100 is an abundant number, since it is smaller than the sum of its proper divisors (820976623).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
383768100 is a wasteful number, since it uses less digits than its factorization.
383768100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1326 (or 663 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The cubic root of 383768100 is about 726.7018916048.
Multiplying 383768100 by its sum of digits (36), we get a square (13815651600 = 1175402).
383768100 divided by its sum of digits (36) gives a square (10660225 = 32652).
The spelling of 383768100 in words is "three hundred eighty-three million, seven hundred sixty-eight thousand, one hundred".
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