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3301441312 = 251316014957
BaseRepresentation
bin1100010011000111…
…1111111100100000
322112002020121002011
43010301333330200
523230132110222
61303333202304
7144545534221
oct30461777440
98462217064
103301441312
1114446397a4
12781790394
13407c98390
14234673248
15144c89c77
hexc4c7ff20

3301441312 has 48 divisors (see below), whose sum is σ = 7005475512. Its totient is φ = 1522483200.

The previous prime is 3301441307. The next prime is 3301441313. The reversal of 3301441312 is 2131441033.

It can be written as a sum of positive squares in 4 ways, for example, as 3298894096 + 2547216 = 57436^2 + 1596^2 .

It is not an unprimeable number, because it can be changed into a prime (3301441313) 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 7 ways as a sum of consecutive naturals, for example, 663538 + ... + 668494.

Almost surely, 23301441312 is an apocalyptic number.

3301441312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3301441312 is an abundant number, since it is smaller than the sum of its proper divisors (3704034200).

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

3301441312 is a wasteful number, since it uses less digits than its factorization.

3301441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3301441312 is about 57458.1701066089. The cubic root of 3301441312 is about 1489.0222722447.

Adding to 3301441312 its reverse (2131441033), we get a palindrome (5432882345).

The spelling of 3301441312 in words is "three billion, three hundred one million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1601 3202 4957 6404 9914 12808 19828 20813 25616 39656 41626 51232 64441 79312 83252 128882 158624 166504 257764 333008 515528 666016 1031056 2062112 7936157 15872314 31744628 63489256 103170041 126978512 206340082 253957024 412680164 825360328 1650720656 3301441312