Base | Representation |
---|---|
bin | 11010010111010… |
… | …000101000000000 |
3 | 1010211021102102120 |
4 | 122113100220000 |
5 | 1401212230044 |
6 | 111520044240 |
7 | 13650350010 |
oct | 3227205000 |
9 | 1124242376 |
10 | 442305024 |
11 | 207740347 |
12 | 104163680 |
13 | 70834365 |
14 | 42a57c40 |
15 | 28c6d519 |
hex | 1a5d0a00 |
442305024 has 160 divisors (see below), whose sum is σ = 1391149056. Its totient is φ = 122204160.
The previous prime is 442305023. The next prime is 442305037. The reversal of 442305024 is 420503244.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 442304985 and 442305003.
It is not an unprimeable number, because it can be changed into a prime (442305023) 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, 332649 + ... + 333975.
Almost surely, 2442305024 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 442305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695574528).
442305024 is an abundant number, since it is smaller than the sum of its proper divisors (948844032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
442305024 is a wasteful number, since it uses less digits than its factorization.
442305024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1386 (or 1370 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 24.
The square root of 442305024 is about 21031.0490465882. The cubic root of 442305024 is about 761.9163457604.
Adding to 442305024 its reverse (420503244), we get a palindrome (862808268).
The spelling of 442305024 in words is "four hundred forty-two million, three hundred five thousand, twenty-four".
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