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8343726336 = 28321121732
BaseRepresentation
bin1111100010101001…
…10010100100000000
3210112111012012210100
413301110302210000
5114041443220321
63455535002400
7413523334521
oct76124624400
923474165710
108343726336
1135a18a8100
12174a369400
13a2c81089a
145921c0848
1533c795326
hex1f1532900

8343726336 has 243 divisors, whose sum is σ = 26596572457. Its totient is φ = 2513786880.

The previous prime is 8343726323. The next prime is 8343726337. The reversal of 8343726336 is 6336273438.

The square root of 8343726336 is 91344.

It is a perfect power (a square), and thus also a powerful number.

8343726336 is a `hidden beast` number, since 8 + 3 + 4 + 3 + 7 + 2 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7589894400 + 753831936 = 87120^2 + 27456^2 .

It is a super-3 number, since 3×83437263363 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (1306368) is a multiple of the sum of its prime divisors (189).

It is a junction number, because it is equal to n+sod(n) for n = 8343726291 and 8343726300.

It is not an unprimeable number, because it can be changed into a prime (8343726337) 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 26 ways as a sum of consecutive naturals, for example, 48229546 + ... + 48229718.

Almost surely, 28343726336 is an apocalyptic number.

8343726336 is the 91344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8343726336

8343726336 is an abundant number, since it is smaller than the sum of its proper divisors (18252846121).

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

8343726336 is a wasteful number, since it uses less digits than its factorization.

8343726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 189 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The cubic root of 8343726336 is about 2028.2431462726.

The spelling of 8343726336 in words is "eight billion, three hundred forty-three million, seven hundred twenty-six thousand, three hundred thirty-six".