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432073241 = 17113224921
BaseRepresentation
bin11001110000001…
…110101000011001
31010010000121001122
4121300032220121
51341102320431
6110512455025
713464363515
oct3160165031
91103017048
10432073241
11201992026
1210084a475
136b691152
1441553145
1527deba7b
hex19c0ea19

432073241 has 8 divisors (see below), whose sum is σ = 461539944. Its totient is φ = 403056640.

The previous prime is 432073237. The next prime is 432073261. The reversal of 432073241 is 142370234.

It can be written as a sum of positive squares in 4 ways, for example, as 27258841 + 404814400 = 5221^2 + 20120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 432073241 - 22 = 432073237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 432073241.

It is not an unprimeable number, because it can be changed into a prime (432073261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110540 + ... + 114381.

It is an arithmetic number, because the mean of its divisors is an integer number (57692493).

Almost surely, 2432073241 is an apocalyptic number.

It is an amenable number.

432073241 is a deficient number, since it is larger than the sum of its proper divisors (29466703).

432073241 is a wasteful number, since it uses less digits than its factorization.

432073241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225051.

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 432073241 is about 20786.3715207826. The cubic root of 432073241 is about 755.9953487625.

The spelling of 432073241 in words is "four hundred thirty-two million, seventy-three thousand, two hundred forty-one".

Divisors: 1 17 113 1921 224921 3823657 25416073 432073241