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300005064 = 23324166737
BaseRepresentation
bin10001111000011…
…011011011001000
3202220111211120200
4101320123123020
51103300130224
645434052200
710302000222
oct2170333310
9686454520
10300005064
11144388277
128457a060
134a2001b8
142bbb5412
151b5105c9
hex11e1b6c8

300005064 has 24 divisors (see below), whose sum is σ = 812513910. Its totient is φ = 100001664.

The previous prime is 300005059. The next prime is 300005071. The reversal of 300005064 is 460500003.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 164096100 + 135908964 = 12810^2 + 11658^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2083297 + ... + 2083440.

Almost surely, 2300005064 is an apocalyptic number.

It is an amenable number.

300005064 is an abundant number, since it is smaller than the sum of its proper divisors (512508846).

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

300005064 is a wasteful number, since it uses less digits than its factorization.

300005064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166749 (or 4166742 counting only the distinct ones).

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

The square root of 300005064 is about 17320.6542601600. The cubic root of 300005064 is about 669.4367167370.

Adding to 300005064 its reverse (460500003), we get a palindrome (760505067).

The spelling of 300005064 in words is "three hundred million, five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4166737 8333474 12500211 16666948 25000422 33333896 37500633 50000844 75001266 100001688 150002532 300005064