Base | Representation |
---|---|
bin | 111101000010101… |
… | …001010000010100 |
3 | 2122101000211211012 |
4 | 331002221100110 |
5 | 4044132302234 |
6 | 245342031352 |
7 | 34243510220 |
oct | 7502512024 |
9 | 2571024735 |
10 | 1024103444 |
11 | 486097091 |
12 | 246b78558 |
13 | 134229290 |
14 | 9a023780 |
15 | 5ed930ce |
hex | 3d0a9414 |
1024103444 has 48 divisors (see below), whose sum is σ = 2214172800. Its totient is φ = 403595136.
The previous prime is 1024103413. The next prime is 1024103449. The reversal of 1024103444 is 4443014201.
It is a happy number.
It is a super-2 number, since 2×10241034442 = 2097575728025322272, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1024103449) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92687 + ... + 103145.
It is an arithmetic number, because the mean of its divisors is an integer number (46128600).
Almost surely, 21024103444 is an apocalyptic number.
1024103444 is a gapful number since it is divisible by the number (14) 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 1024103444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107086400).
1024103444 is an abundant number, since it is smaller than the sum of its proper divisors (1190069356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1024103444 is a wasteful number, since it uses less digits than its factorization.
1024103444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10752 (or 10750 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 23.
The square root of 1024103444 is about 32001.6162716823. The cubic root of 1024103444 is about 1007.9707792088.
Adding to 1024103444 its reverse (4443014201), we get a palindrome (5467117645).
The spelling of 1024103444 in words is "one billion, twenty-four million, one hundred three thousand, four hundred forty-four".
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