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3041065440 = 253257347131
BaseRepresentation
bin1011010101000010…
…1111100111100000
321211221022010112100
42311100233213200
522212003043230
61221432330400
7135234426000
oct26520574740
97757263470
103041065440
111320669526
1270a543a00
1339606200a
1420bc56000
1512bea6660
hexb542f9e0

3041065440 has 576 divisors, whose sum is σ = 12454041600. Its totient is φ = 675118080.

The previous prime is 3041065403. The next prime is 3041065441. The reversal of 3041065440 is 445601403.

3041065440 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 0 + 654 + 4 + 0 = 666.

3041065440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041065441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23214175 + ... + 23214305.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 23041065440 is an apocalyptic number.

3041065440 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 3041065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227020800).

3041065440 is an abundant number, since it is smaller than the sum of its proper divisors (9412976160).

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

3041065440 is a wasteful number, since it uses less digits than its factorization.

3041065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3041065440 is about 55145.8560546484. The cubic root of 3041065440 is about 1448.8005046362.

Adding to 3041065440 its reverse (445601403), we get a palindrome (3486666843).

The spelling of 3041065440 in words is "three billion, forty-one million, sixty-five thousand, four hundred forty".