Base | Representation |
---|---|
bin | 1001000101101001100000 |
3 | 11111001002020 |
4 | 21011221200 |
5 | 1102214212 |
6 | 123021440 |
7 | 26151603 |
oct | 11055140 |
9 | 4431066 |
10 | 2382432 |
11 | 1387a58 |
12 | 96a880 |
13 | 655530 |
14 | 46033a |
15 | 320d8c |
hex | 245a60 |
2382432 has 96 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 692736.
The previous prime is 2382407. The next prime is 2382449. The reversal of 2382432 is 2342832.
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 (24).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 13.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28663 + ... + 28745.
It is an arithmetic number, because the mean of its divisors is an integer number (74088).
22382432 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 2382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).
2382432 is an abundant number, since it is smaller than the sum of its proper divisors (4730016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2382432 is a wasteful number, since it uses less digits than its factorization.
2382432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 132 (or 124 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
The square root of 2382432 is about 1543.5128765255. The cubic root of 2382432 is about 133.5591063721.
The spelling of 2382432 in words is "two million, three hundred eighty-two thousand, four hundred thirty-two".
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