| Base | Representation |
|---|---|
| bin | 11010011110111… |
| … | …101010010111000 |
| 3 | 1010222001221120102 |
| 4 | 122132331102320 |
| 5 | 1402221314000 |
| 6 | 112031214532 |
| 7 | 14003453222 |
| oct | 3236752270 |
| 9 | 1128057512 |
| 10 | 444323000 |
| 11 | 2088994a0 |
| 12 | 104977448 |
| 13 | 7108ca24 |
| 14 | 43021412 |
| 15 | 2901b3d5 |
| hex | 1a7bd4b8 |
444323000 has 128 divisors (see below), whose sum is σ = 1171722240. Its totient is φ = 156240000.
The previous prime is 444322997. The next prime is 444323003. The reversal of 444323000 is 323444.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (444322997) and next prime (444323003).
It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (444323003) 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 31 ways as a sum of consecutive naturals, for example, 340349 + ... + 341651.
It is an arithmetic number, because the mean of its divisors is an integer number (9154080).
Almost surely, 2444323000 is an apocalyptic number.
444323000 is a gapful number since it is divisible by the number (40) 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 444323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585861120).
444323000 is an abundant number, since it is smaller than the sum of its proper divisors (727399240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444323000 is a wasteful number, since it uses less digits than its factorization.
444323000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1366 (or 1352 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 20.
The square root of 444323000 is about 21078.9705630991. The cubic root of 444323000 is about 763.0733124441.
Adding to 444323000 its reverse (323444), we get a palindrome (444646444).
The spelling of 444323000 in words is "four hundred forty-four million, three hundred twenty-three thousand".
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