Base | Representation |
---|---|
bin | 10110101100100… |
… | …011111110100000 |
3 | 222112111122120120 |
4 | 112230203332200 |
5 | 1234434433243 |
6 | 101441240240 |
7 | 12302403036 |
oct | 2654437640 |
9 | 875448516 |
10 | 380780448 |
11 | 185a38a94 |
12 | a7633080 |
13 | 60b72499 |
14 | 38800556 |
15 | 23668c83 |
hex | 16b23fa0 |
380780448 has 96 divisors (see below), whose sum is σ = 1036385280. Its totient is φ = 122327040.
The previous prime is 380780447. The next prime is 380780459. The reversal of 380780448 is 844087083.
It is a tau number, because it is divible by the number of its divisors (96).
It is not an unprimeable number, because it can be changed into a prime (380780441) 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, 349761 + ... + 350847.
It is an arithmetic number, because the mean of its divisors is an integer number (10795680).
Almost surely, 2380780448 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 380780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).
380780448 is an abundant number, since it is smaller than the sum of its proper divisors (655604832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
380780448 is a wasteful number, since it uses less digits than its factorization.
380780448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).
The product of its (nonzero) digits is 172032, while the sum is 42.
The square root of 380780448 is about 19513.5964906524. The cubic root of 380780448 is about 724.8111742889.
It can be divided in two parts, 3807 and 80448, that added together give a triangular number (84255 = T410).
The spelling of 380780448 in words is "three hundred eighty million, seven hundred eighty thousand, four hundred forty-eight".
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