Base | Representation |
---|---|
bin | 11100101010000… |
… | …11101010000000 |
3 | 121202100122012122 |
4 | 32111003222000 |
5 | 443020313044 |
6 | 35504343412 |
7 | 5646242423 |
oct | 1625035200 |
9 | 552318178 |
10 | 240401024 |
11 | 113777936 |
12 | 68614b68 |
13 | 3aa61536 |
14 | 23cdb9ba |
15 | 16189dee |
hex | e543a80 |
240401024 has 32 divisors (see below), whose sum is σ = 482454900. Its totient is φ = 119314432.
The previous prime is 240401011. The next prime is 240401033. The reversal of 240401024 is 420104042.
It can be written as a sum of positive squares in 2 ways, for example, as 225961024 + 14440000 = 15032^2 + 3800^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a junction number, because it is equal to n+sod(n) for n = 240400993 and 240401011.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10682 + ... + 24390.
Almost surely, 2240401024 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 240401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241227450).
240401024 is an abundant number, since it is smaller than the sum of its proper divisors (242053876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240401024 is a wasteful number, since it uses less digits than its factorization.
240401024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13860 (or 13848 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 17.
The square root of 240401024 is about 15504.8709765673. The cubic root of 240401024 is about 621.7924404730.
Adding to 240401024 its reverse (420104042), we get a palindrome (660505066).
The spelling of 240401024 in words is "two hundred forty million, four hundred one thousand, twenty-four".
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