Search a number
-
+
34195730282 = 27171941184441
BaseRepresentation
bin11111110110001110…
…010110111101101010
310021021011022002021222
4133312032112331222
51030013101332112
623413113102042
72320254624440
oct376616267552
9107234262258
1034195730282
111355866431a
1267640b7922
1332bc70753c
14192578cb90
15d52163372
hex7f6396f6a

34195730282 has 64 divisors (see below), whose sum is σ = 66930312960. Its totient is φ = 12748492800.

The previous prime is 34195730281. The next prime is 34195730297. The reversal of 34195730282 is 28203759143.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34195730281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93182 + ... + 277622.

It is an arithmetic number, because the mean of its divisors is an integer number (1045786140).

Almost surely, 234195730282 is an apocalyptic number.

34195730282 is a deficient number, since it is larger than the sum of its proper divisors (32734582678).

34195730282 is a wasteful number, since it uses less digits than its factorization.

34195730282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184527.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 34195730282 in words is "thirty-four billion, one hundred ninety-five million, seven hundred thirty thousand, two hundred eighty-two".

Divisors: 1 2 7 14 17 19 34 38 41 82 119 133 238 266 287 323 574 646 697 779 1394 1558 2261 4522 4879 5453 9758 10906 13243 26486 92701 184441 185402 368882 1291087 2582174 3135497 3504379 6270994 7008758 7562081 15124162 21948479 24530653 43896958 49061306 52934567 59574443 105869134 119148886 128555377 143679539 257110754 287359078 417021101 834042202 899887639 1005756773 1799775278 2011513546 2442552163 4885104326 17097865141 34195730282