Base | Representation |
---|---|
bin | 10011010000100… |
… | …110101110000000 |
3 | 211112000012022102 |
4 | 103100212232000 |
5 | 1130204320000 |
6 | 52021325532 |
7 | 11002321550 |
oct | 2320465600 |
9 | 745005272 |
10 | 323120000 |
11 | 156435925 |
12 | 902668a8 |
13 | 51c34388 |
14 | 30cb1160 |
15 | 1d5793d5 |
hex | 13426b80 |
323120000 has 160 divisors (see below), whose sum is σ = 920892720. Its totient is φ = 110592000.
The previous prime is 323119999. The next prime is 323120009. The reversal of 323120000 is 21323.
323120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (160).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (323120009) 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 19 ways as a sum of consecutive naturals, for example, 559712 + ... + 560288.
Almost surely, 2323120000 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 323120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460446360).
323120000 is an abundant number, since it is smaller than the sum of its proper divisors (597772720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
323120000 is an frugal number, since it uses more digits than its factorization.
323120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 618 (or 591 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 323120000 is about 17975.5389348971. The cubic root of 323120000 is about 686.2061616339.
Adding to 323120000 its reverse (21323), we get a palindrome (323141323).
The spelling of 323120000 in words is "three hundred twenty-three million, one hundred twenty thousand".
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