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3303665064 = 233272936413
BaseRepresentation
bin1100010011101001…
…1110110110101000
322112020102120111100
43010322132312220
523231214240224
61303453001400
7144603455400
oct30472366650
98466376440
103303665064
111445918507
12782483260
134085965cb
14234a91800
15145078ac9
hexc4e9eda8

3303665064 has 72 divisors (see below), whose sum is σ = 10408241610. Its totient is φ = 943903296.

The previous prime is 3303665047. The next prime is 3303665069. The reversal of 3303665064 is 4605663033.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3143844900 + 159820164 = 56070^2 + 12642^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3303665069) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 464679 + ... + 471734.

Almost surely, 23303665064 is an apocalyptic number.

It is an amenable number.

3303665064 is an abundant number, since it is smaller than the sum of its proper divisors (7104576546).

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

3303665064 is a wasteful number, since it uses less digits than its factorization.

3303665064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936439 (or 936425 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3303665064 is about 57477.5179004800. The cubic root of 3303665064 is about 1489.3565174804.

The spelling of 3303665064 in words is "three billion, three hundred three million, six hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 936413 1872826 2809239 3745652 5618478 6554891 7491304 8427717 11236956 13109782 16855434 19664673 22473912 26219564 33710868 39329346 45884237 52439128 58994019 67421736 78658692 91768474 117988038 137652711 157317384 183536948 235976076 275305422 367073896 412958133 471952152 550610844 825916266 1101221688 1651832532 3303665064