Base | Representation |
---|---|
bin | 100100110101101000010101… |
… | …1000001001110110000100000 |
3 | 1120111021222200011111120202200 |
4 | 1021223100223001032300200 |
5 | 314432402410003003204 |
6 | 3105053233521013200 |
7 | 125152261164045654 |
oct | 11153205301166040 |
9 | 1514258604446680 |
10 | 324030234422304 |
11 | 942784a59760a3 |
12 | 30413291a84200 |
13 | 10ba5bc62c6497 |
14 | 5a0320b620a64 |
15 | 276db83b82539 |
hex | 126b42b04ec20 |
324030234422304 has 288 divisors, whose sum is σ = 960968429576064. Its totient is φ = 103503104839680.
The previous prime is 324030234422267. The next prime is 324030234422309. The reversal of 324030234422304 is 403224432030423.
324030234422304 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 3 + 0 + 2 + 344 + 2 + 2 + 304 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×3240302344223043 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (324030234422309) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114563452 + ... + 117357764.
It is an arithmetic number, because the mean of its divisors is an integer number (3336695936028).
Almost surely, 2324030234422304 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 324030234422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480484214788032).
324030234422304 is an abundant number, since it is smaller than the sum of its proper divisors (636938195153760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
324030234422304 is a wasteful number, since it uses less digits than its factorization.
324030234422304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2794560 (or 2794549 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 36.
Adding to 324030234422304 its reverse (403224432030423), we get a palindrome (727254666452727).
The spelling of 324030234422304 in words is "three hundred twenty-four trillion, thirty billion, two hundred thirty-four million, four hundred twenty-two thousand, three hundred four".
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