Base | Representation |
---|---|
bin | 11010010110000… |
… | …110001111001100 |
3 | 1010210200221110200 |
4 | 122112012033030 |
5 | 1401123002312 |
6 | 111505333500 |
7 | 13644640464 |
oct | 3226061714 |
9 | 1123627420 |
10 | 442000332 |
11 | 207552434 |
12 | 104037290 |
13 | 70758777 |
14 | 429b8ba4 |
15 | 28c0d0dc |
hex | 1a5863cc |
442000332 has 36 divisors (see below), whose sum is σ = 1117956840. Its totient is φ = 147244032.
The previous prime is 442000319. The next prime is 442000333. The reversal of 442000332 is 233000244.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×4420003322 = 390728586976220448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (442000333) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86028 + ... + 91020.
Almost surely, 2442000332 is an apocalyptic number.
It is an amenable number.
442000332 is an abundant number, since it is smaller than the sum of its proper divisors (675956508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442000332 is a wasteful number, since it uses less digits than its factorization.
442000332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7462 (or 7457 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 442000332 is about 21023.8039374420. The cubic root of 442000332 is about 761.7413510318.
Adding to 442000332 its reverse (233000244), we get a palindrome (675000576).
It can be divided in two parts, 44 and 2000332, that added together give a cube (2000376 = 1263).
The spelling of 442000332 in words is "four hundred forty-two million, three hundred thirty-two", and thus it is an aban number.
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