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3000136320 = 27355101191
BaseRepresentation
bin1011001011010010…
…0111001010000000
321202002021201100000
42302310213022000
522121013330240
61213411200000
7134226511056
oct26264471200
97662251300
103000136320
1112aa553905
126b88a6000
1338a7315bc
142066401d6
151285be430
hexb2d27280

3000136320 has 384 divisors, whose sum is σ = 10906721280. Its totient is φ = 787968000.

The previous prime is 3000136313. The next prime is 3000136331. The reversal of 3000136320 is 236310003.

It is a happy number.

3000136320 is a `hidden beast` number, since 30 + 0 + 0 + 1 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3000136293 and 3000136302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15707425 + ... + 15707615.

It is an arithmetic number, because the mean of its divisors is an integer number (28402920).

Almost surely, 23000136320 is an apocalyptic number.

3000136320 is a gapful number since it is divisible by the number (30) 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 3000136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453360640).

3000136320 is an abundant number, since it is smaller than the sum of its proper divisors (7906584960).

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

3000136320 is a wasteful number, since it uses less digits than its factorization.

3000136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3000136320 is about 54773.5001620309. The cubic root of 3000136320 is about 1442.2714152500.

Adding to 3000136320 its reverse (236310003), we get a palindrome (3236446323).

The spelling of 3000136320 in words is "three billion, one hundred thirty-six thousand, three hundred twenty".