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3066364040 = 235101759001
BaseRepresentation
bin1011011011000101…
…0000000010001000
321220200220102200112
42312301100002020
522234442122130
61224134453452
7135662443565
oct26661200210
97820812615
103066364040
111333978763
12716b04288
1339b37c0bc
1421135d86c
1512e302495
hexb6c50088

3066364040 has 32 divisors (see below), whose sum is σ = 6967638360. Its totient is φ = 1214400000.

The previous prime is 3066363991. The next prime is 3066364109. The reversal of 3066364040 is 404636603.

It can be written as a sum of positive squares in 4 ways, for example, as 2562181924 + 504182116 = 50618^2 + 22454^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3066363988 and 3066364006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 375461 + ... + 383540.

Almost surely, 23066364040 is an apocalyptic number.

It is an amenable number.

3066364040 is an abundant number, since it is smaller than the sum of its proper divisors (3901274320).

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

3066364040 is a wasteful number, since it uses less digits than its factorization.

3066364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759113 (or 759109 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 3066364040 is about 55374.7599543330. The cubic root of 3066364040 is about 1452.8069353516.

The spelling of 3066364040 in words is "three billion, sixty-six million, three hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 759001 1518002 3036004 3795005 6072008 7590010 15180020 30360040 76659101 153318202 306636404 383295505 613272808 766591010 1533182020 3066364040