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379141965 = 365414359
BaseRepresentation
bin10110100110010…
…011111101001101
3222102102102000000
4112212103331031
51234030020330
6101342154513
712252440106
oct2646237515
9872372000
10379141965
11185019a74
12a6b82a39
136071a777
14384d53ad
1523443560
hex16993f4d

379141965 has 112 divisors (see below), whose sum is σ = 727151040. Its totient is φ = 189423360.

The previous prime is 379141957. The next prime is 379141991. The reversal of 379141965 is 569141973.

It is not a de Polignac number, because 379141965 - 23 = 379141957 is a prime.

It is a super-2 number, since 2×3791419652 = 287497259248122450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 379141965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6426106 + ... + 6426164.

It is an arithmetic number, because the mean of its divisors is an integer number (6492420).

Almost surely, 2379141965 is an apocalyptic number.

It is an amenable number.

379141965 is a deficient number, since it is larger than the sum of its proper divisors (348009075).

379141965 is an equidigital number, since it uses as much as digits as its factorization.

379141965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 379141965 is about 19471.5681186698. The cubic root of 379141965 is about 723.7700684387.

The spelling of 379141965 in words is "three hundred seventy-nine million, one hundred forty-one thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 41 43 45 59 81 123 129 135 177 205 215 243 295 369 387 405 531 615 645 729 885 1107 1161 1215 1593 1763 1845 1935 2419 2537 2655 3321 3483 3645 4779 5289 5535 5805 7257 7611 7965 8815 9963 10449 12095 12685 14337 15867 16605 17415 21771 22833 23895 26445 29889 31347 36285 38055 43011 47601 49815 52245 65313 68499 71685 79335 104017 108855 114165 142803 149445 156735 195939 205497 215055 238005 312051 326565 342495 428409 520085 587817 616491 714015 936153 979695 1027485 1285227 1560255 1763451 1849473 2142045 2808459 2939085 3082455 4680765 6426135 8425377 8817255 9247365 14042295 25276131 42126885 75828393 126380655 379141965