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8761430340 = 22335134572731
BaseRepresentation
bin10000010100011100…
…01101000101000100
3211121121011202222000
420022032031011010
5120420411232330
64005215505300
7430054633455
oct101216150504
924547152860
108761430340
113796665323
121846228230
13a98210510
145d187312c
153642a4560
hex20a38d144

8761430340 has 192 divisors, whose sum is σ = 29429541120. Its totient is φ = 2151152640.

The previous prime is 8761430239. The next prime is 8761430341. The reversal of 8761430340 is 430341678.

8761430340 is a `hidden beast` number, since 8 + 7 + 614 + 3 + 0 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8761430295 and 8761430304.

It is not an unprimeable number, because it can be changed into a prime (8761430341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3206775 + ... + 3209505.

It is an arithmetic number, because the mean of its divisors is an integer number (153278860).

Almost surely, 28761430340 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 8761430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714770560).

8761430340 is an abundant number, since it is smaller than the sum of its proper divisors (20668110780).

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

8761430340 is a wasteful number, since it uses less digits than its factorization.

8761430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 8761430340 is about 93602.5124662795. The cubic root of 8761430340 is about 2061.5395488460.

The spelling of 8761430340 in words is "eight billion, seven hundred sixty-one million, four hundred thirty thousand, three hundred forty".