Base | Representation |
---|---|
bin | 101000100110000… |
… | …1010110001010000 |
3 | 10111221010002202020 |
4 | 1101030022301100 |
5 | 10242202104321 |
6 | 343055251440 |
7 | 45520015200 |
oct | 12114126120 |
9 | 3457102666 |
10 | 1362144336 |
11 | 639993223 |
12 | 320219b80 |
13 | 189285c87 |
14 | ccc9a400 |
15 | 7e8b84c6 |
hex | 5130ac50 |
1362144336 has 120 divisors (see below), whose sum is σ = 4107638880. Its totient is φ = 387830016.
The previous prime is 1362144331. The next prime is 1362144337. The reversal of 1362144336 is 6334412631.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 1362144297 and 1362144306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1362144331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 815310 + ... + 816978.
It is an arithmetic number, because the mean of its divisors is an integer number (34230324).
Almost surely, 21362144336 is an apocalyptic number.
1362144336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1362144336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053819440).
1362144336 is an abundant number, since it is smaller than the sum of its proper divisors (2745494544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1362144336 is a wasteful number, since it uses less digits than its factorization.
1362144336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2041 (or 2028 counting only the distinct ones).
The product of its digits is 31104, while the sum is 33.
The square root of 1362144336 is about 36907.2396150132. The cubic root of 1362144336 is about 1108.5136440407.
Adding to 1362144336 its reverse (6334412631), we get a palindrome (7696556967).
The spelling of 1362144336 in words is "one billion, three hundred sixty-two million, one hundred forty-four thousand, three hundred thirty-six".
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