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3340775760 = 2435723312789
BaseRepresentation
bin1100011100100000…
…0011000101010000
322121211020222210120
43013020003011100
523320214311020
61311300230240
7145534061010
oct30710030520
98554228716
103340775760
111464865303
1279299b380
1341318acba
14239991c40
15148459740
hexc7203150

3340775760 has 320 divisors, whose sum is σ = 12753469440. Its totient is φ = 706590720.

The previous prime is 3340775759. The next prime is 3340775831. The reversal of 3340775760 is 675770433.

It is a super-2 number, since 2×33407757602 = 22321565357207155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1196446 + ... + 1199234.

It is an arithmetic number, because the mean of its divisors is an integer number (39854592).

Almost surely, 23340775760 is an apocalyptic number.

3340775760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376734720).

3340775760 is an abundant number, since it is smaller than the sum of its proper divisors (9412693680).

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

3340775760 is a wasteful number, since it uses less digits than its factorization.

3340775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 42.

The square root of 3340775760 is about 57799.4442879860. Note that the first 3 decimals coincide. The cubic root of 3340775760 is about 1494.9125066711.

The spelling of 3340775760 in words is "three billion, three hundred forty million, seven hundred seventy-five thousand, seven hundred sixty".