| Base | Representation |
|---|---|
| bin | 10110101001111… |
| … | …011101000000000 |
| 3 | 222111012121200000 |
| 4 | 112221323220000 |
| 5 | 1234300402010 |
| 6 | 101414400000 |
| 7 | 12263501451 |
| oct | 2651735000 |
| 9 | 874177600 |
| 10 | 380090880 |
| 11 | 1856079a4 |
| 12 | a7360000 |
| 13 | 60990660 |
| 14 | 386a1128 |
| 15 | 2357e7c0 |
| hex | 16a7ba00 |
380090880 has 480 divisors, whose sum is σ = 1501403904. Its totient is φ = 91570176.
The previous prime is 380090873. The next prime is 380090881. The reversal of 380090880 is 88090083.
380090880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (380090881) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8087017 + ... + 8087063.
Almost surely, 2380090880 is an apocalyptic number.
380090880 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 380090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952).
380090880 is an abundant number, since it is smaller than the sum of its proper divisors (1121313024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
380090880 is an equidigital number, since it uses as much as digits as its factorization.
380090880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 98 (or 70 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 380090880 is about 19495.9195730799. The cubic root of 380090880 is about 724.3733816765.
380090880 divided by its product of nonzero digits (13824) gives a triangular number (27495 = T234).
The spelling of 380090880 in words is "three hundred eighty million, ninety thousand, eight hundred eighty".
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