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31442333 = 131728369
BaseRepresentation
bin111011111110…
…0010110011101
32012011102202212
41313330112131
531022123313
63041530205
7531153416
oct167742635
965142685
1031442333
11168260aa
12a643965
13668b640
14426680d
152b613a8
hex1dfc59d

31442333 has 12 divisors (see below), whose sum is σ = 35974260. Its totient is φ = 27313152.

The previous prime is 31442273. The next prime is 31442347. The reversal of 31442333 is 33324413.

It can be written as a sum of positive squares in 6 ways, for example, as 1444804 + 29997529 = 1202^2 + 5477^2 .

It is not a de Polignac number, because 31442333 - 26 = 31442269 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31442299 and 31442308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428 + ... + 7941.

It is an arithmetic number, because the mean of its divisors is an integer number (2997855).

Almost surely, 231442333 is an apocalyptic number.

It is an amenable number.

31442333 is a deficient number, since it is larger than the sum of its proper divisors (4531927).

31442333 is a wasteful number, since it uses less digits than its factorization.

31442333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8399 counting only the distinct ones).

The product of its digits is 2592, while the sum is 23.

The square root of 31442333 is about 5607.3463420766. The cubic root of 31442333 is about 315.6251396660.

Adding to 31442333 its reverse (33324413), we get a palindrome (64766746).

The spelling of 31442333 in words is "thirty-one million, four hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 13 17 221 289 3757 8369 108797 142273 1849549 2418641 31442333