Base | Representation |
---|---|
bin | 10110111010001… |
… | …001110111000000 |
3 | 222210012200011000 |
4 | 112322021313000 |
5 | 1241342442423 |
6 | 102045452000 |
7 | 12344602644 |
oct | 2672116700 |
9 | 883180130 |
10 | 384343488 |
11 | 187a51a51 |
12 | a8871000 |
13 | 6181c1a9 |
14 | 3908ac24 |
15 | 23b1e843 |
hex | 16e89dc0 |
384343488 has 112 divisors (see below), whose sum is σ = 1142044960. Its totient is φ = 126738432.
The previous prime is 384343451. The next prime is 384343489. The reversal of 384343488 is 884343483.
It is a super-2 number, since 2×3843434882 = 295439833536012288, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (384343489) 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, 166470 + ... + 168762.
It is an arithmetic number, because the mean of its divisors is an integer number (10196830).
Almost surely, 2384343488 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 384343488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571022480).
384343488 is an abundant number, since it is smaller than the sum of its proper divisors (757701472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
384343488 is a wasteful number, since it uses less digits than its factorization.
384343488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2411 (or 2395 counting only the distinct ones).
The product of its digits is 884736, while the sum is 45.
The square root of 384343488 is about 19604.6802575303. The cubic root of 384343488 is about 727.0648944617.
The spelling of 384343488 in words is "three hundred eighty-four million, three hundred forty-three thousand, four hundred eighty-eight".
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