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6324084 = 22321313513
BaseRepresentation
bin11000000111111101110100
3102220022000100
4120013331310
53104332314
6343314100
7104516364
oct30077564
912808010
106324084
11362a418
12214b930
131405680
14ba89a4
1584dc09
hex607f74

6324084 has 36 divisors (see below), whose sum is σ = 17216836. Its totient is φ = 1945728.

The previous prime is 6324079. The next prime is 6324089. The reversal of 6324084 is 4804236.

It is an interprime number because it is at equal distance from previous prime (6324079) and next prime (6324089).

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 4284900 = 1428^2 + 2070^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6324089) 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 11 ways as a sum of consecutive naturals, for example, 6289 + ... + 7224.

Almost surely, 26324084 is an apocalyptic number.

It is an amenable number.

6324084 is an abundant number, since it is smaller than the sum of its proper divisors (10892752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6324084 is a wasteful number, since it uses less digits than its factorization.

6324084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13536 (or 13531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6324084 is about 2514.7731508031. The cubic root of 6324084 is about 184.9265254855.

The spelling of 6324084 in words is "six million, three hundred twenty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 13513 27026 40539 54052 81078 121617 162156 175669 243234 351338 486468 527007 702676 1054014 1581021 2108028 3162042 6324084