Base | Representation |
---|---|
bin | 100000001011111… |
… | …100101111111100 |
3 | 1101122010000022010 |
4 | 200023330233330 |
5 | 2101220101244 |
6 | 125330051220 |
7 | 16244644500 |
oct | 4013745774 |
9 | 1348100263 |
10 | 540003324 |
11 | 2578aa543 |
12 | 130a19b10 |
13 | 87b502c3 |
14 | 51a0a300 |
15 | 3261aeb9 |
hex | 202fcbfc |
540003324 has 72 divisors (see below), whose sum is σ = 1476491520. Its totient is φ = 153153504.
The previous prime is 540003301. The next prime is 540003349. The reversal of 540003324 is 423300045.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 540003324.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78429 + ... + 85035.
Almost surely, 2540003324 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 540003324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738245760).
540003324 is an abundant number, since it is smaller than the sum of its proper divisors (936488196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
540003324 is a wasteful number, since it uses less digits than its factorization.
540003324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6767 (or 6758 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 21.
The square root of 540003324 is about 23237.9715982269. The cubic root of 540003324 is about 814.3269558499.
Adding to 540003324 its reverse (423300045), we get a palindrome (963303369).
The spelling of 540003324 in words is "five hundred forty million, three thousand, three hundred twenty-four".
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