Base | Representation |
---|---|
bin | 11010001000011… |
… | …000000000100000 |
3 | 1010112221012000000 |
4 | 122020120000200 |
5 | 1344212344404 |
6 | 111300300000 |
7 | 13602236106 |
oct | 3210300040 |
9 | 1115835000 |
10 | 438403104 |
11 | 205515817 |
12 | 1029a1600 |
13 | 6ca99329 |
14 | 4231dc76 |
15 | 2874c339 |
hex | 1a218020 |
438403104 has 84 divisors (see below), whose sum is σ = 1294136046. Its totient is φ = 146126592.
The previous prime is 438403087. The next prime is 438403117. The reversal of 438403104 is 401304834.
It can be written as a sum of positive squares in only one way, i.e., 333135504 + 105267600 = 18252^2 + 10260^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 13 ways as a sum of consecutive naturals, for example, 13932 + ... + 32724.
Almost surely, 2438403104 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 438403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647068023).
438403104 is an abundant number, since it is smaller than the sum of its proper divisors (855732942).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
438403104 is an equidigital number, since it uses as much as digits as its factorization.
438403104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18821 (or 18798 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 438403104 is about 20938.0778487425. The cubic root of 438403104 is about 759.6692374165.
Adding to 438403104 its reverse (401304834), we get a palindrome (839707938).
The spelling of 438403104 in words is "four hundred thirty-eight million, four hundred three thousand, one hundred four".
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