Base | Representation |
---|---|
bin | 11010010111011… |
… | …001001100000100 |
3 | 1010211100012112200 |
4 | 122113121030010 |
5 | 1401214340400 |
6 | 111520514500 |
7 | 13650554166 |
oct | 3227311404 |
9 | 1124305480 |
10 | 442340100 |
11 | 207764734 |
12 | 10417ba30 |
13 | 70847307 |
14 | 42a66936 |
15 | 28c78b00 |
hex | 1a5d9304 |
442340100 has 54 divisors (see below), whose sum is σ = 1386493290. Its totient is φ = 117957120.
The previous prime is 442340089. The next prime is 442340141. The reversal of 442340100 is 1043244.
It can be written as a sum of positive squares in 3 ways, for example, as 106131204 + 336208896 = 10302^2 + 18336^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
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 17 ways as a sum of consecutive naturals, for example, 244845 + ... + 246644.
Almost surely, 2442340100 is an apocalyptic number.
It is an amenable number.
442340100 is an abundant number, since it is smaller than the sum of its proper divisors (944153190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442340100 is a wasteful number, since it uses less digits than its factorization.
442340100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491509 (or 491499 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 442340100 is about 21031.8829399557. The cubic root of 442340100 is about 761.9364859124.
Adding to 442340100 its reverse (1043244), we get a palindrome (443383344).
The spelling of 442340100 in words is "four hundred forty-two million, three hundred forty thousand, one hundred".
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