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800241 = 31317271
BaseRepresentation
bin11000011010111110001
31111122201120
43003113301
5201101431
625052453
76542031
oct3032761
91448646
10800241
114a7262
12327129
13220320
1416b8c1
1510c196
hexc35f1

800241 has 24 divisors (see below), whose sum is σ = 1237824. Its totient is φ = 456960.

The previous prime is 800237. The next prime is 800243. The reversal of 800241 is 142008.

800241 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 800241 - 22 = 800237 is a prime.

800241 is strictly pandigital in base 7.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 800241.

It is not an unprimeable number, because it can be changed into a prime (800243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11236 + ... + 11306.

It is an arithmetic number, because the mean of its divisors is an integer number (51576).

2800241 is an apocalyptic number.

It is an amenable number.

800241 is a deficient number, since it is larger than the sum of its proper divisors (437583).

800241 is a wasteful number, since it uses less digits than its factorization.

800241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 800241 is about 894.5619039508. The cubic root of 800241 is about 92.8410975939.

Adding to 800241 its reverse (142008), we get a palindrome (942249).

The spelling of 800241 in words is "eight hundred thousand, two hundred forty-one".

Divisors: 1 3 13 17 39 51 71 213 221 289 663 867 923 1207 2769 3621 3757 11271 15691 20519 47073 61557 266747 800241