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803322 = 232133433
BaseRepresentation
bin11000100000111111010
31111210221200
43010013322
5201201242
625115030
76554022
oct3040772
91453850
10803322
114a9603
12328a76
13221850
1416ca82
1510d04c
hexc41fa

803322 has 24 divisors (see below), whose sum is σ = 1874964. Its totient is φ = 247104.

The previous prime is 803311. The next prime is 803323. The reversal of 803322 is 223308.

803322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 741321 + 62001 = 861^2 + 249^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 803295 and 803304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 803322.

It is not an unprimeable number, because it can be changed into a prime (803323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483 + ... + 1950.

2803322 is an apocalyptic number.

803322 is an abundant number, since it is smaller than the sum of its proper divisors (1071642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

803322 is a wasteful number, since it uses less digits than its factorization.

803322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 803322 is about 896.2823215929. The cubic root of 803322 is about 92.9600938743.

The spelling of 803322 in words is "eight hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3433 6866 10299 20598 30897 44629 61794 89258 133887 267774 401661 803322