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3444263064 = 23321122317189
BaseRepresentation
bin1100110101001011…
…0100100010011000
322220000222200200200
43031102310202120
524023212404224
61325434302200
7151231516164
oct31522644230
98800880620
103444263064
111508218900
12801587960
1342b752ba8
1424960dca4
1515259c5c9
hexcd4b4898

3444263064 has 144 divisors (see below), whose sum is σ = 10699743600. Its totient is φ = 998279040.

The previous prime is 3444263059. The next prime is 3444263077. The reversal of 3444263064 is 4603624443.

3444263064 is a `hidden beast` number, since 344 + 4 + 2 + 6 + 306 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191782 + ... + 208970.

It is an arithmetic number, because the mean of its divisors is an integer number (74303775).

Almost surely, 23444263064 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 3444263064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349871800).

3444263064 is an abundant number, since it is smaller than the sum of its proper divisors (7255480536).

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

3444263064 is a wasteful number, since it uses less digits than its factorization.

3444263064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17246 (or 17228 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 3444263064 is about 58687.8442609711. The cubic root of 3444263064 is about 1510.1917894486.

The spelling of 3444263064 in words is "three billion, four hundred forty-four million, two hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 121 132 138 184 198 207 242 253 264 276 363 396 414 484 506 552 726 759 792 828 968 1012 1089 1452 1518 1656 2024 2178 2277 2783 2904 3036 4356 4554 5566 6072 8349 8712 9108 11132 16698 17189 18216 22264 25047 33396 34378 50094 51567 66792 68756 100188 103134 137512 154701 189079 200376 206268 309402 378158 395347 412536 567237 618804 756316 790694 1134474 1186041 1237608 1512632 1581388 1701711 2079869 2268948 2372082 3162776 3403422 3558123 4159738 4348817 4537896 4744164 6239607 6806844 7116246 8319476 8697634 9488328 12479214 13046451 13613688 14232492 16638952 17395268 18718821 24958428 26092902 28464984 34790536 37437642 39139353 47836987 49916856 52185804 74875284 78278706 95673974 104371608 143510961 149750568 156557412 191347948 287021922 313114824 382695896 430532883 574043844 861065766 1148087688 1722131532 3444263064