| Base | Representation |
|---|---|
| bin | 10110110100100… |
| … | …111000100000000 |
| 3 | 222200110211200000 |
| 4 | 112310213010000 |
| 5 | 1241004441430 |
| 6 | 101554400000 |
| 7 | 12326341035 |
| oct | 2664470400 |
| 9 | 880424600 |
| 10 | 382890240 |
| 11 | 18714a117 |
| 12 | a8290000 |
| 13 | 61430895 |
| 14 | 38bcd38c |
| 15 | 23933e60 |
| hex | 16d27100 |
382890240 has 216 divisors, whose sum is σ = 1374941568. Its totient is φ = 102021120.
The previous prime is 382890239. The next prime is 382890241. The reversal of 382890240 is 42098283.
It is an interprime number because it is at equal distance from previous prime (382890239) and next prime (382890241).
It is a tau number, because it is divible by the number of its divisors (216).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 382890195 and 382890204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (382890241) 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, 310425 + ... + 311655.
Almost surely, 2382890240 is an apocalyptic number.
382890240 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 382890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687470784).
382890240 is an abundant number, since it is smaller than the sum of its proper divisors (992051328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
382890240 is an equidigital number, since it uses as much as digits as its factorization.
382890240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1267 (or 1241 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 382890240 is about 19567.5813528397. The cubic root of 382890240 is about 726.1473643894.
The spelling of 382890240 in words is "three hundred eighty-two million, eight hundred ninety thousand, two hundred forty".
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