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341312076966 = 237174391112203
BaseRepresentation
bin1001111011101111100…
…10001111110010100110
31012121222121212222110210
410331313302033302212
521043001342430331
6420444022200250
733442013533410
oct4756762176246
91177877788423
10341312076966
11121827851173
1256194883086
1326254987173
141273ba959b0
158d2946e446
hex4f77c8fca6

341312076966 has 128 divisors (see below), whose sum is σ = 846239809536. Its totient is φ = 89541204480.

The previous prime is 341312076943. The next prime is 341312076971. The reversal of 341312076966 is 669670213143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27963421 + ... + 27975623.

It is an arithmetic number, because the mean of its divisors is an integer number (6611248512).

Almost surely, 2341312076966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341312076966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423119904768).

341312076966 is an abundant number, since it is smaller than the sum of its proper divisors (504927732570).

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

341312076966 is a wasteful number, since it uses less digits than its factorization.

341312076966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13186.

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 341312076966 in words is "three hundred forty-one billion, three hundred twelve million, seventy-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 102 119 129 238 258 301 357 602 714 731 903 911 1462 1806 1822 2193 2733 4386 5117 5466 6377 10234 12203 12754 15351 15487 19131 24406 30702 30974 36609 38262 39173 46461 73218 78346 85421 92922 108409 117519 170842 207451 216818 235038 256263 274211 325227 414902 512526 524729 548422 622353 650454 665941 822633 1049458 1244706 1331882 1452157 1574187 1645266 1997823 2904314 3148374 3673103 3995646 4356471 4661587 7346206 8712942 8920393 9323174 11019309 11116933 13984761 17840786 22038618 22233866 26761179 27969522 33350799 53522358 62442751 66701598 77818531 124885502 155637062 187328253 188987861 233455593 374656506 377975722 466911186 478028119 566963583 956056238 1133927166 1322915027 1434084357 2645830054 2868168714 3346196833 3968745081 6692393666 7937490162 8126478023 10038590499 16252956046 20077180998 24379434069 48758868138 56885346161 113770692322 170656038483 341312076966