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3001145064 = 2332319072851
BaseRepresentation
bin1011001011100001…
…1101011011101000
321202011011222001220
42302320131123220
522121243120224
61213444542040
7134241212031
oct26270353350
97664158056
103001145064
111300082785
126b90b1920
1338a9c57a8
14206823a88
1512871d279
hexb2e1d6e8

3001145064 has 64 divisors (see below), whose sum is σ = 7835927040. Its totient is φ = 956049600.

The previous prime is 3001145047. The next prime is 3001145071. The reversal of 3001145064 is 4605411003.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1051239 + ... + 1054089.

It is an arithmetic number, because the mean of its divisors is an integer number (122436360).

Almost surely, 23001145064 is an apocalyptic number.

It is an amenable number.

3001145064 is an abundant number, since it is smaller than the sum of its proper divisors (4834781976).

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

3001145064 is a wasteful number, since it uses less digits than its factorization.

3001145064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3001145064 is about 54782.7077096414. The cubic root of 3001145064 is about 1442.4330434176.

Adding to 3001145064 its reverse (4605411003), we get a palindrome (7606556067).

The spelling of 3001145064 in words is "three billion, one million, one hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1907 2851 3814 5702 5721 7628 8553 11404 11442 15256 17106 22808 22884 34212 43861 45768 65573 68424 87722 131146 131583 175444 196719 262292 263166 350888 393438 524584 526332 786876 1052664 1573752 5436857 10873714 16310571 21747428 32621142 43494856 65242284 125047711 130484568 250095422 375143133 500190844 750286266 1000381688 1500572532 3001145064