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3441943440 = 2432513418969
BaseRepresentation
bin1100110100100111…
…1110001110010000
322212212121211202200
43031021332032100
524022114142230
61325312443200
7151203015345
oct31511761620
98785554680
103441943440
111506984061
12800849500
1342b120130
142491a87cc
15152290160
hexcd27e390

3441943440 has 240 divisors, whose sum is σ = 12753402480. Its totient is φ = 826490880.

The previous prime is 3441943391. The next prime is 3441943457. The reversal of 3441943440 is 443491443.

3441943440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 892097424 + 2549846016 = 29868^2 + 50496^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 3441943395 and 3441943404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379276 + ... + 388244.

It is an arithmetic number, because the mean of its divisors is an integer number (53139177).

Almost surely, 23441943440 is an apocalyptic number.

3441943440 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 3441943440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376701240).

3441943440 is an abundant number, since it is smaller than the sum of its proper divisors (9311459040).

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

3441943440 is a wasteful number, since it uses less digits than its factorization.

3441943440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3441943440 is about 58668.0785436169. The cubic root of 3441943440 is about 1509.8526879959.

The spelling of 3441943440 in words is "three billion, four hundred forty-one million, nine hundred forty-three thousand, four hundred forty".