| Base | Representation |
|---|---|
| bin | 10011010100110… |
| … | …010010011000000 |
| 3 | 211121001212202000 |
| 4 | 103110302103000 |
| 5 | 1130444403000 |
| 6 | 52101024000 |
| 7 | 11014535103 |
| oct | 2324622300 |
| 9 | 747055660 |
| 10 | 324216000 |
| 11 | 157014309 |
| 12 | 906b5000 |
| 13 | 522291b4 |
| 14 | 310b873a |
| 15 | 1d6e4000 |
| hex | 135324c0 |
324216000 has 448 divisors, whose sum is σ = 1267968000. Its totient is φ = 80870400.
The previous prime is 324215951. The next prime is 324216007. The reversal of 324216000 is 612423.
It is a happy number.
324216000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (324216007) 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 63 ways as a sum of consecutive naturals, for example, 4103961 + ... + 4104039.
Almost surely, 2324216000 is an apocalyptic number.
324216000 is a gapful number since it is divisible by the number (30) 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 324216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633984000).
324216000 is an abundant number, since it is smaller than the sum of its proper divisors (943752000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
324216000 is a wasteful number, since it uses less digits than its factorization.
324216000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 324216000 is about 18005.9990003332. Note that the first 3 decimals coincide. The cubic root of 324216000 is about 686.9811401928.
324216000 divided by its product of nonzero digits (288) gives a triangular number (1125750 = T1500).
Adding to 324216000 its reverse (612423), we get a palindrome (324828423).
The spelling of 324216000 in words is "three hundred twenty-four million, two hundred sixteen thousand".
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