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2327989248 = 210341317127
BaseRepresentation
bin1000101011000010…
…0100110000000000
320000020112002220000
42022300210300000
514231431123443
61023000520000
7111455403444
oct21260446000
96006462800
102327989248
11a950a8862
1254b780000
132b13c4b40
14181276824
15d959e8d3
hex8ac24c00

2327989248 has 440 divisors, whose sum is σ = 7989391872. Its totient is φ = 668860416.

The previous prime is 2327989219. The next prime is 2327989253. The reversal of 2327989248 is 8429897232.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3483648) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 2327989194 and 2327989203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18330561 + ... + 18330687.

Almost surely, 22327989248 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 2327989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994695936).

2327989248 is an abundant number, since it is smaller than the sum of its proper divisors (5661402624).

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

2327989248 is a wasteful number, since it uses less digits than its factorization.

2327989248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 162 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2327989248 is about 48249.2409059459. The cubic root of 2327989248 is about 1325.3390371046.

The spelling of 2327989248 in words is "two billion, three hundred twenty-seven million, nine hundred eighty-nine thousand, two hundred forty-eight".