Base | Representation |
---|---|
bin | 111101110110… |
… | …1100001000000 |
3 | 2021000121210110 |
4 | 1323231201000 |
5 | 31300231034 |
6 | 3115031320 |
7 | 542436345 |
oct | 173554100 |
9 | 67017713 |
10 | 32430144 |
11 | 1734027a |
12 | aa3b540 |
13 | 6946146 |
14 | 44427cc |
15 | 2ca8de9 |
hex | 1eed840 |
32430144 has 56 divisors (see below), whose sum is σ = 87119968. Its totient is φ = 10644480.
The previous prime is 32430143. The next prime is 32430187. The reversal of 32430144 is 44103423.
It is a self number, because there is not a number n which added to its sum of digits gives 32430144.
It is not an unprimeable number, because it can be changed into a prime (32430143) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11604 + ... + 14124.
Almost surely, 232430144 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 32430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43559984).
32430144 is an abundant number, since it is smaller than the sum of its proper divisors (54689824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32430144 is a wasteful number, since it uses less digits than its factorization.
32430144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2603 (or 2593 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 32430144 is about 5694.7470532061. The cubic root of 32430144 is about 318.8964067144.
Adding to 32430144 its reverse (44103423), we get a palindrome (76533567).
The spelling of 32430144 in words is "thirty-two million, four hundred thirty thousand, one hundred forty-four".
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