Base | Representation |
---|---|
bin | 1001011000100101111… |
… | …00001011011000001010 |
3 | 1010211021102100000012000 |
4 | 10230102330023120022 |
5 | 20240324204443310 |
6 | 404043234531430 |
7 | 32203241301423 |
oct | 4542274133012 |
9 | 1124242300160 |
10 | 322440312330 |
11 | 114823172074 |
12 | 525a8736b76 |
13 | 24537c67c26 |
14 | 1186b57c64a |
15 | 85c27b54c0 |
hex | 4b12f0b60a |
322440312330 has 128 divisors (see below), whose sum is σ = 867373056000. Its totient is φ = 85232347200.
The previous prime is 322440312317. The next prime is 322440312331. The reversal of 322440312330 is 33213044223.
322440312330 is a `hidden beast` number, since 3 + 2 + 24 + 403 + 1 + 233 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 322440312294 and 322440312303.
It is not an unprimeable number, because it can be changed into a prime (322440312331) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 35047071 + ... + 35056269.
It is an arithmetic number, because the mean of its divisors is an integer number (6776352000).
Almost surely, 2322440312330 is an apocalyptic number.
322440312330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 322440312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433686528000).
322440312330 is an abundant number, since it is smaller than the sum of its proper divisors (544932743670).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
322440312330 is a wasteful number, since it uses less digits than its factorization.
322440312330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10337 (or 10331 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 27.
Adding to 322440312330 its reverse (33213044223), we get a palindrome (355653356553).
The spelling of 322440312330 in words is "three hundred twenty-two billion, four hundred forty million, three hundred twelve thousand, three hundred thirty".
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