Base | Representation |
---|---|
bin | 10110101010001… |
… | …000000000000000 |
3 | 222111022012012100 |
4 | 112222020000000 |
5 | 1234304012233 |
6 | 101415430400 |
7 | 12264102312 |
oct | 2652100000 |
9 | 874265170 |
10 | 380141568 |
11 | 185641a94 |
12 | a7385400 |
13 | 609aa751 |
14 | 386b57b2 |
15 | 2358e813 |
hex | 16a88000 |
380141568 has 96 divisors (see below), whose sum is σ = 1099021950. Its totient is φ = 126615552.
The previous prime is 380141563. The next prime is 380141581. The reversal of 380141568 is 865141083.
380141568 is a `hidden beast` number, since 3 + 80 + 14 + 1 + 568 = 666.
It can be written as a sum of positive squares in only one way, i.e., 272646144 + 107495424 = 16512^2 + 10368^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×3801415682 = 289015223442997248, which contains 22 as substring.
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 (380141563) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294268 + ... + 295556.
Almost surely, 2380141568 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 380141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549510975).
380141568 is an abundant number, since it is smaller than the sum of its proper divisors (718880382).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
380141568 is an equidigital number, since it uses as much as digits as its factorization.
380141568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1325 (or 1294 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 380141568 is about 19497.2194940715. The cubic root of 380141568 is about 724.4055804723.
It can be divided in two parts, 3801 and 41568, that added together give a square (45369 = 2132).
The spelling of 380141568 in words is "three hundred eighty million, one hundred forty-one thousand, five hundred sixty-eight".
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