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3341461068 = 223211192319309
BaseRepresentation
bin1100011100101010…
…1010011001001100
322121212112210212100
43013022222121030
523320403223233
61311323035100
7145542644001
oct30712523114
98555483770
103341461068
111465193180
1279306ba90
1341336abca
14239acd8a8
15148542813
hexc72aa64c

3341461068 has 144 divisors (see below), whose sum is σ = 10121529600. Its totient is φ = 917516160.

The previous prime is 3341461021. The next prime is 3341461103. The reversal of 3341461068 is 8601641433.

It is a happy number.

3341461068 is a `hidden beast` number, since 3 + 34 + 1 + 4 + 610 + 6 + 8 = 666.

It is a super-2 number, since 2×33414610682 = 22330724137919401248, which contains 22 as substring.

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

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, 163398 + ... + 182706.

It is an arithmetic number, because the mean of its divisors is an integer number (70288400).

Almost surely, 23341461068 is an apocalyptic number.

3341461068 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 3341461068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060764800).

3341461068 is an abundant number, since it is smaller than the sum of its proper divisors (6780068532).

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

3341461068 is a wasteful number, since it uses less digits than its factorization.

3341461068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19372 (or 19367 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3341461068 is about 57805.3723108847. The cubic root of 3341461068 is about 1495.0147190044.

The spelling of 3341461068 in words is "three billion, three hundred forty-one million, four hundred sixty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 23 33 36 38 44 46 57 66 69 76 92 99 114 132 138 171 198 207 209 228 253 276 342 396 414 418 437 506 627 684 759 828 836 874 1012 1254 1311 1518 1748 1881 2277 2508 2622 3036 3762 3933 4554 4807 5244 7524 7866 9108 9614 14421 15732 19228 19309 28842 38618 43263 57684 57927 77236 86526 115854 173052 173781 212399 231708 347562 366871 424798 444107 637197 695124 733742 849596 888214 1100613 1274394 1332321 1467484 1776428 1911591 2201226 2548788 2664642 3301839 3823182 3996963 4035581 4402452 4885177 5329284 6603678 7646364 7993926 8071162 8438033 9770354 12106743 13207356 14655531 15987852 16142324 16876066 19540708 24213486 25314099 29311062 33752132 36320229 43966593 48426972 50628198 58622124 72640458 75942297 87933186 92818363 101256396 145280916 151884594 175866372 185636726 278455089 303769188 371273452 556910178 835365267 1113820356 1670730534 3341461068