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8341927440 = 2435711587769
BaseRepresentation
bin1111100010011011…
…11011011000010000
3210112100210211011120
413301031323120100
5114041013134230
63455432242240
7413502133110
oct76115733020
923470724146
108341927440
1135a0889610
121749840380
13a2c330b52
14591c73040
1533c53c310
hex1f137b610

8341927440 has 320 divisors, whose sum is σ = 32337930240. Its totient is φ = 1728184320.

The previous prime is 8341927439. The next prime is 8341927543. The reversal of 8341927440 is 447291438.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8341927392 and 8341927401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10847376 + ... + 10848144.

It is an arithmetic number, because the mean of its divisors is an integer number (101056032).

Almost surely, 28341927440 is an apocalyptic number.

8341927440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8341927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168965120).

8341927440 is an abundant number, since it is smaller than the sum of its proper divisors (23996002800).

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

8341927440 is a wasteful number, since it uses less digits than its factorization.

8341927440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 8341927440 is about 91334.1526483933. The cubic root of 8341927440 is about 2028.0973736454.

The spelling of 8341927440 in words is "eight billion, three hundred forty-one million, nine hundred twenty-seven thousand, four hundred forty".