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3443480768 = 267133131889
BaseRepresentation
bin1100110100111111…
…0101100011000000
322212222111221120202
43031033311203000
524023012341033
61325405424332
7151222050350
oct31517654300
98788457522
103443480768
111507834082
1280126b0a8
1342b53aab0
14249488b60
151524958e8
hexcd3f58c0

3443480768 has 112 divisors (see below), whose sum is σ = 8441375040. Its totient is φ = 1357185024.

The previous prime is 3443480767. The next prime is 3443480771. The reversal of 3443480768 is 8670843443.

3443480768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3443480767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821968 + ... + 1823856.

It is an arithmetic number, because the mean of its divisors is an integer number (75369420).

Almost surely, 23443480768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3443480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220687520).

3443480768 is an abundant number, since it is smaller than the sum of its proper divisors (4997894272).

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

3443480768 is a wasteful number, since it uses less digits than its factorization.

3443480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The square root of 3443480768 is about 58681.1789929275. The cubic root of 3443480768 is about 1510.0774440932.

The spelling of 3443480768 in words is "three billion, four hundred forty-three million, four hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 313 364 416 448 626 728 832 1252 1456 1889 2191 2504 2912 3778 4069 4382 5008 5824 7556 8138 8764 10016 13223 15112 16276 17528 20032 24557 26446 28483 30224 32552 35056 49114 52892 56966 60448 65104 70112 98228 105784 113932 120896 130208 140224 171899 196456 211568 227864 260416 343798 392912 423136 455728 591257 687596 785824 846272 911456 1182514 1375192 1571648 1822912 2365028 2750384 4138799 4730056 5500768 7686341 8277598 9460112 11001536 15372682 16555196 18920224 30745364 33110392 37840448 53804387 61490728 66220784 107608774 122981456 132441568 215217548 245962912 264883136 430435096 491925824 860870192 1721740384 3443480768