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4381822341 = 32131511971259
BaseRepresentation
bin1000001010010110…
…10100110110000101
3102022101011122020100
410011023110312011
532433221303331
62002445354313
7213404606151
oct40513246605
912271148210
104381822341
111949473a86
12a23568999
1354aa6a1b0
142d7d46061
151a9a47ae6
hex1052d4d85

4381822341 has 48 divisors (see below), whose sum is σ = 6901614720. Its totient is φ = 2662934400.

The previous prime is 4381822339. The next prime is 4381822411. The reversal of 4381822341 is 1432281834.

It is a happy number.

4381822341 is a `hidden beast` number, since 438 + 182 + 2 + 3 + 41 = 666.

It is not a de Polignac number, because 4381822341 - 21 = 4381822339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4381822296 and 4381822305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381822331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3479770 + ... + 3481028.

It is an arithmetic number, because the mean of its divisors is an integer number (143783640).

Almost surely, 24381822341 is an apocalyptic number.

It is an amenable number.

4381822341 is a deficient number, since it is larger than the sum of its proper divisors (2519792379).

4381822341 is a wasteful number, since it uses less digits than its factorization.

4381822341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1623 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4381822341 is about 66195.3347374269. The cubic root of 4381822341 is about 1636.3828594703.

The spelling of 4381822341 in words is "four billion, three hundred eighty-one million, eight hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 151 197 453 591 1259 1359 1773 1963 2561 3777 5889 7683 11331 16367 17667 23049 29747 49101 89241 147303 190109 248023 267723 386711 570327 744069 1160133 1710981 2232207 2471417 3224299 3480399 7414251 9672897 22242753 29018691 37451473 112354419 337063257 486869149 1460607447 4381822341