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930082321 = 77111316561
BaseRepresentation
bin110111011011111…
…110111000010001
32101211010002002101
4313123332320101
53401100113241
6232142520401
732022366160
oct6733767021
92354102071
10930082321
11438009683
1221b596101
1311a8c9c8c
148b74b3d7
15569bee31
hex376fee11

930082321 has 16 divisors (see below), whose sum is σ = 1087527168. Its totient is φ = 778982400.

The previous prime is 930082301. The next prime is 930082327. The reversal of 930082321 is 123280039.

It is not a de Polignac number, because 930082321 - 25 = 930082289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 930082321.

It is not an unprimeable number, because it can be changed into a prime (930082327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47881 + ... + 64441.

It is an arithmetic number, because the mean of its divisors is an integer number (67970448).

Almost surely, 2930082321 is an apocalyptic number.

It is an amenable number.

930082321 is a deficient number, since it is larger than the sum of its proper divisors (157444847).

930082321 is a wasteful number, since it uses less digits than its factorization.

930082321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 930082321 is about 30497.2510400528. The cubic root of 930082321 is about 976.1288073667.

The spelling of 930082321 in words is "nine hundred thirty million, eighty-two thousand, three hundred twenty-one".

Divisors: 1 7 71 113 497 791 8023 16561 56161 115927 1175831 1871393 8230817 13099751 132868903 930082321