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3361441468 = 2271121979661
BaseRepresentation
bin1100100001011011…
…1000011010111100
322200021010220211011
43020112320122330
523341012111333
61313315205004
7146204531620
oct31026703274
98607126734
103361441468
11147549a800
127998a6764
13417545428
1423c611180
1514a18c9cd
hexc85b86bc

3361441468 has 144 divisors (see below), whose sum is σ = 7888921600. Its totient is φ = 1223164800.

The previous prime is 3361441459. The next prime is 3361441469. The reversal of 3361441468 is 8641441633.

3361441468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33614414682 = 22598577485579990048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3361441468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361441469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5085058 + ... + 5085718.

Almost surely, 23361441468 is an apocalyptic number.

3361441468 is a gapful number since it is divisible by the number (38) 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 3361441468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944460800).

3361441468 is an abundant number, since it is smaller than the sum of its proper divisors (4527480132).

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

3361441468 is a wasteful number, since it uses less digits than its factorization.

3361441468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 779 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 3361441468 is about 57977.9394942594. The cubic root of 3361441468 is about 1497.9886327326.

The spelling of 3361441468 in words is "three billion, three hundred sixty-one million, four hundred forty-one thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 79 121 133 154 158 209 242 266 308 316 418 484 532 553 661 836 847 869 1106 1322 1463 1501 1694 1738 2212 2299 2644 2926 3002 3388 3476 4598 4627 5852 6004 6083 7271 9196 9254 9559 10507 12166 12559 14542 16093 16511 18508 19118 21014 24332 25118 29084 32186 33022 38236 42028 50236 50897 52219 64372 66044 66913 79981 87913 101794 104438 115577 133826 138149 159962 175826 181621 203588 208876 231154 267652 276298 319924 351652 363242 365533 462308 552596 559867 574409 726484 731066 967043 992161 1119734 1148818 1271347 1462132 1519639 1934086 1984322 2239468 2297636 2542694 3039278 3868172 3968644 4020863 5085388 6078556 6318499 6945127 8041726 10637473 10913771 12636998 13890254 16083452 21274946 21827542 25273996 27780508 42549892 43655084 44229493 76396397 88458986 120051481 152792794 176917972 240102962 305585588 480205924 840360367 1680720734 3361441468