| Base | Representation |
|---|---|
| bin | 10110101010000… |
| … | …100101100100000 |
| 3 | 222111021111122000 |
| 4 | 112222010230200 |
| 5 | 1234303044112 |
| 6 | 101415244000 |
| 7 | 12264014664 |
| oct | 2652045440 |
| 9 | 874244560 |
| 10 | 380128032 |
| 11 | 1856328a9 |
| 12 | a7379600 |
| 13 | 609a453b |
| 14 | 386b08a4 |
| 15 | 2358a7dc |
| hex | 16a84b20 |
380128032 has 96 divisors (see below), whose sum is σ = 1127649600. Its totient is φ = 124545024.
The previous prime is 380128019. The next prime is 380128033. The reversal of 380128032 is 230821083.
380128032 is a `hidden beast` number, since 380 + 1 + 280 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 380127987 and 380128005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (380128033) 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 15 ways as a sum of consecutive naturals, for example, 47248 + ... + 54704.
It is an arithmetic number, because the mean of its divisors is an integer number (11746350).
Almost surely, 2380128032 is an apocalyptic number.
380128032 is a gapful number since it is divisible by the number (32) 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 380128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563824800).
380128032 is an abundant number, since it is smaller than the sum of its proper divisors (747521568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
380128032 is a wasteful number, since it uses less digits than its factorization.
380128032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7535 (or 7521 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 380128032 is about 19496.8723645615. The cubic root of 380128032 is about 724.3969822104.
The spelling of 380128032 in words is "three hundred eighty million, one hundred twenty-eight thousand, thirty-two".
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