Base | Representation |
---|---|
bin | 10000001011010000000000 |
3 | 21222102201021 |
4 | 100023100000 |
5 | 2041143014 |
6 | 230515224 |
7 | 51020431 |
oct | 20132000 |
9 | 7872637 |
10 | 4240384 |
11 | 2436955 |
12 | 1505b14 |
13 | b56105 |
14 | 7c5488 |
15 | 58b624 |
hex | 40b400 |
4240384 has 44 divisors (see below), whose sum is σ = 8769348. Its totient is φ = 2048000.
The previous prime is 4240381. The next prime is 4240399. The reversal of 4240384 is 4830424.
It can be written as a sum of positive squares in 2 ways, for example, as 2166784 + 2073600 = 1472^2 + 1440^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4240381) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41934 + ... + 42034.
Almost surely, 24240384 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 4240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384674).
4240384 is an abundant number, since it is smaller than the sum of its proper divisors (4528964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4240384 is a wasteful number, since it uses less digits than its factorization.
4240384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 25.
The square root of 4240384 is about 2059.2192695291. The cubic root of 4240384 is about 161.8583326856.
It can be divided in two parts, 4240 and 384, that added together give a square (4624 = 682).
The spelling of 4240384 in words is "four million, two hundred forty thousand, three hundred eighty-four".
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