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3005064 = 233241737
BaseRepresentation
bin1011011101101010001000
312122200011200
423131222020
51232130224
6144224200
734354056
oct13355210
95580150
103005064
111772827
12100b060
13812a5a
145831d6
153e55c9
hex2dda88

3005064 has 24 divisors (see below), whose sum is σ = 8138910. Its totient is φ = 1001664.

The previous prime is 3005063. The next prime is 3005071. The reversal of 3005064 is 4605003.

It is a happy number.

3005064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1664100 + 1340964 = 1290^2 + 1158^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (3005063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20797 + ... + 20940.

Almost surely, 23005064 is an apocalyptic number.

It is an amenable number.

3005064 is an abundant number, since it is smaller than the sum of its proper divisors (5133846).

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

3005064 is a wasteful number, since it uses less digits than its factorization.

3005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41749 (or 41742 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3005064 is about 1733.5120420695. The cubic root of 3005064 is about 144.3060619886.

The spelling of 3005064 in words is "three million, five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41737 83474 125211 166948 250422 333896 375633 500844 751266 1001688 1502532 3005064