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3323665040 = 245241717189
BaseRepresentation
bin1100011000011011…
…0001101010010000
322120122001200022012
43012012301222100
523301324240130
61305445402052
7145235454353
oct30606615220
98518050265
103323665040
111456138813
12789109328
1340c779a07
142375ba29a
15146bc9995
hexc61b1a90

3323665040 has 40 divisors (see below), whose sum is σ = 7731168120. Its totient is φ = 1328838656.

The previous prime is 3323664989. The next prime is 3323665067. The reversal of 3323665040 is 405663233.

It can be written as a sum of positive squares in 4 ways, for example, as 2025360016 + 1298305024 = 45004^2 + 36032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×33236650403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3323664988 and 3323665006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184766 + ... + 201954.

It is an arithmetic number, because the mean of its divisors is an integer number (193279203).

Almost surely, 23323665040 is an apocalyptic number.

It is an amenable number.

3323665040 is an abundant number, since it is smaller than the sum of its proper divisors (4407503080).

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

3323665040 is a wasteful number, since it uses less digits than its factorization.

3323665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19619 (or 19613 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The square root of 3323665040 is about 57651.2362399975. The cubic root of 3323665040 is about 1492.3559323991.

The spelling of 3323665040 in words is "three billion, three hundred twenty-three million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2417 4834 9668 12085 17189 19336 24170 34378 38672 48340 68756 85945 96680 137512 171890 193360 275024 343780 687560 1375120 41545813 83091626 166183252 207729065 332366504 415458130 664733008 830916260 1661832520 3323665040