Base | Representation |
---|---|
bin | 111011110011110… |
… | …010000100000000 |
3 | 2120221010112101102 |
4 | 323303302010000 |
5 | 4023334231034 |
6 | 243322553532 |
7 | 33603005213 |
oct | 7363620400 |
9 | 2527115342 |
10 | 1003430144 |
11 | 475456a12 |
12 | 2400688a8 |
13 | 12cb6b562 |
14 | 973a177a |
15 | 5d15c97e |
hex | 3bcf2100 |
1003430144 has 36 divisors (see below), whose sum is σ = 2025491580. Its totient is φ = 496066560.
The previous prime is 1003430101. The next prime is 1003430159. The reversal of 1003430144 is 4410343001.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 364351744 + 639078400 = 19088^2 + 25280^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764 + ... + 44804.
It is an arithmetic number, because the mean of its divisors is an integer number (56263655).
Almost surely, 21003430144 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 1003430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012745790).
1003430144 is an abundant number, since it is smaller than the sum of its proper divisors (1022061436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003430144 is an frugal number, since it uses more digits than its factorization.
1003430144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44146 (or 44132 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 1003430144 is about 31676.9655112354. The cubic root of 1003430144 is about 1001.1420764981.
Adding to 1003430144 its reverse (4410343001), we get a palindrome (5413773145).
The spelling of 1003430144 in words is "one billion, three million, four hundred thirty thousand, one hundred forty-four".
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