| Base | Representation |
|---|---|
| bin | 11010100001001… |
| … | …111001000000000 |
| 3 | 1011000012021221101 |
| 4 | 122201033020000 |
| 5 | 1402344422240 |
| 6 | 112052104144 |
| 7 | 14011521535 |
| oct | 3241171000 |
| 9 | 1130167841 |
| 10 | 444920320 |
| 11 | 209167249 |
| 12 | 105005054 |
| 13 | 7123b880 |
| 14 | 43138d8c |
| 15 | 290d839a |
| hex | 1a84f200 |
444920320 has 160 divisors (see below), whose sum is σ = 1191017520. Its totient is φ = 158269440.
The previous prime is 444920317. The next prime is 444920323. The reversal of 444920320 is 23029444.
It is an interprime number because it is at equal distance from previous prime (444920317) and next prime (444920323).
It can be written as a sum of positive squares in 8 ways, for example, as 80568576 + 364351744 = 8976^2 + 19088^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×4449203202 = 395908182297804800, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (444920323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964890 + ... + 965350.
Almost surely, 2444920320 is an apocalyptic number.
444920320 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 444920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595508760).
444920320 is an abundant number, since it is smaller than the sum of its proper divisors (746097200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444920320 is a wasteful number, since it uses less digits than its factorization.
444920320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 526 (or 510 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
The square root of 444920320 is about 21093.1344280550. The cubic root of 444920320 is about 763.4151019788.
Adding to 444920320 its reverse (23029444), we get a palindrome (467949764).
The spelling of 444920320 in words is "four hundred forty-four million, nine hundred twenty thousand, three hundred twenty".
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