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73341 = 3229281
BaseRepresentation
bin10001111001111101
310201121100
4101321331
54321331
61323313
7423552
oct217175
9121540
1073341
1150114
1236539
13274c8
141ca29
1516ae6
hex11e7d

73341 has 12 divisors (see below), whose sum is σ = 109980. Its totient is φ = 47040.

The previous prime is 73331. The next prime is 73351. The reversal of 73341 is 14337.

73341 = 283 + 293 + 303.

It is an interprime number because it is at equal distance from previous prime (73331) and next prime (73351).

It can be written as a sum of positive squares in 2 ways, for example, as 44100 + 29241 = 210^2 + 171^2 .

It is not a de Polignac number, because 73341 - 25 = 73309 is a prime.

It is an Ulam number.

It is a Curzon number.

73341 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73331) 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 11 ways as a sum of consecutive naturals, for example, 121 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (9165).

273341 is an apocalyptic number.

It is an amenable number.

73341 is a deficient number, since it is larger than the sum of its proper divisors (36639).

73341 is a wasteful number, since it uses less digits than its factorization.

73341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 313 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 73341 is about 270.8154353060. The cubic root of 73341 is about 41.8583664538.

Adding to 73341 its reverse (14337), we get a palindrome (87678).

It can be divided in two parts, 73 and 341, that added together give a palindrome (414).

The spelling of 73341 in words is "seventy-three thousand, three hundred forty-one", and thus it is an iban number.

Divisors: 1 3 9 29 87 261 281 843 2529 8149 24447 73341