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8341324992 = 263271113172337
BaseRepresentation
bin1111100010010111…
…01000010011000000
3210112022200012202200
413301023220103000
5114040334344432
63455411313200
7413464043520
oct76113502300
923468605680
108341324992
1135a0507a20
1217495ab800
13a2c17c880
14591b57680
1533c46da7c
hex1f12e84c0

8341324992 has 1344 divisors, whose sum is σ = 36426184704. Its totient is φ = 1751777280.

The previous prime is 8341324963. The next prime is 8341324993. The reversal of 8341324992 is 2994231438.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8341324993) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225441198 + ... + 225441234.

It is an arithmetic number, because the mean of its divisors is an integer number (27102816).

Almost surely, 28341324992 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 8341324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213092352).

8341324992 is an abundant number, since it is smaller than the sum of its proper divisors (28084859712).

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

8341324992 is a wasteful number, since it uses less digits than its factorization.

8341324992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 8341324992 is about 91330.8545454383. The cubic root of 8341324992 is about 2028.0485498922.

It can be divided in two parts, 8341 and 324992, that added together give a palindrome (333333).

The spelling of 8341324992 in words is "eight billion, three hundred forty-one million, three hundred twenty-four thousand, nine hundred ninety-two".