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8383052340 = 2233513297947
BaseRepresentation
bin1111100111010101…
…10011101000110100
3210122020012011221000
413303222303220310
5114132030133330
63503501523300
7414511524555
oct76352635064
923566164830
108383052340
113612018333
12175b573530
13a379cc700
145974da32c
15340e62560
hex1f3ab3a34

8383052340 has 288 divisors, whose sum is σ = 28562405760. Its totient is φ = 2040090624.

The previous prime is 8383052323. The next prime is 8383052341. The reversal of 8383052340 is 432503838.

8383052340 is a `hidden beast` number, since 8 + 3 + 8 + 305 + 2 + 340 = 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 = 8383052295 and 8383052304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8383052341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8851747 + ... + 8852693.

It is an arithmetic number, because the mean of its divisors is an integer number (99175020).

Almost surely, 28383052340 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 8383052340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281202880).

8383052340 is an abundant number, since it is smaller than the sum of its proper divisors (20179353420).

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

8383052340 is a wasteful number, since it uses less digits than its factorization.

8383052340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8383052340 is about 91559.0101519233. The cubic root of 8383052340 is about 2031.4246868432.

The spelling of 8383052340 in words is "eight billion, three hundred eighty-three million, fifty-two thousand, three hundred forty".