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8043340032 = 28327133227
BaseRepresentation
bin1110111110110101…
…11010000100000000
3202202112222000020200
413133122322010000
5112433043340112
63410044405200
7403215155640
oct73732720400
922675860220
108043340032
11345828a462
121685846800
139b2509000
1456434a520
1532120bcdc
hex1df6ba100

8043340032 has 432 divisors, whose sum is σ = 28838060160. Its totient is φ = 2111975424.

The previous prime is 8043340027. The next prime is 8043340043. The reversal of 8043340032 is 2300433408.

It is a super-2 number, since 2×80433400322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8043339978 and 8043340005.

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, 35433103 + ... + 35433329.

Almost surely, 28043340032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8043340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419030080).

8043340032 is an abundant number, since it is smaller than the sum of its proper divisors (20794720128).

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

8043340032 is a wasteful number, since it uses less digits than its factorization.

8043340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 8043340032 is about 89684.6699943753. The cubic root of 8043340032 is about 2003.6051668147.

The spelling of 8043340032 in words is "eight billion, forty-three million, three hundred forty thousand, thirty-two".