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82344405 = 35111322953
BaseRepresentation
bin1001110100001…
…11100111010101
312201221112021210
410322013213111
5132040010110
612100532033
72016626103
oct472074725
9181845253
1082344405
1142532630
12236b1019
13140a1500
14ad16c73
157368520
hex4e879d5

82344405 has 48 divisors (see below), whose sum is σ = 155687616. Its totient is φ = 36840960.

The previous prime is 82344349. The next prime is 82344419. The reversal of 82344405 is 50444328.

It is not a de Polignac number, because 82344405 - 26 = 82344341 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26409 + ... + 29361.

It is an arithmetic number, because the mean of its divisors is an integer number (3243492).

Almost surely, 282344405 is an apocalyptic number.

It is an amenable number.

82344405 is a deficient number, since it is larger than the sum of its proper divisors (73343211).

82344405 is a wasteful number, since it uses less digits than its factorization.

82344405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 82344405 is about 9074.3817971254. The cubic root of 82344405 is about 435.0555352534.

The spelling of 82344405 in words is "eighty-two million, three hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 169 195 429 507 715 845 1859 2145 2535 2953 5577 8859 9295 14765 27885 32483 38389 44295 97449 115167 162415 191945 422279 487245 499057 575835 1266837 1497171 2111395 2495285 5489627 6334185 7485855 16468881 27448135 82344405