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34341321411 = 3419472232129
BaseRepresentation
bin11111111110111001…
…101111101011000011
310021122022020212210000
4133332321233223003
51030312334241121
623435353411043
72324003262405
oct377671575303
9107568225700
1034341321411
1113622865071
1267a4a09a83
133313921737
14193ac4ab75
15d5ed21526
hex7fee6fac3

34341321411 has 80 divisors (see below), whose sum is σ = 55422259200. Its totient is φ = 21122664192.

The previous prime is 34341321401. The next prime is 34341321419. The reversal of 34341321411 is 11412314343.

34341321411 is a `hidden beast` number, since 3 + 434 + 1 + 3 + 214 + 11 = 666.

It is not a de Polignac number, because 34341321411 - 26 = 34341321347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34341321419) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16129195 + ... + 16131323.

It is an arithmetic number, because the mean of its divisors is an integer number (692778240).

Almost surely, 234341321411 is an apocalyptic number.

34341321411 is a deficient number, since it is larger than the sum of its proper divisors (21080937789).

34341321411 is a wasteful number, since it uses less digits than its factorization.

34341321411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2421 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 34341321411 its reverse (11412314343), we get a palindrome (45753635754).

The spelling of 34341321411 in words is "thirty-four billion, three hundred forty-one million, three hundred twenty-one thousand, four hundred eleven".

Divisors: 1 3 9 19 27 47 57 81 141 171 223 423 513 669 893 1269 1539 2007 2129 2679 3807 4237 6021 6387 8037 10481 12711 18063 19161 24111 31443 38133 40451 57483 72333 94329 100063 114399 121353 172449 199139 282987 300189 343197 364059 474767 597417 848961 900567 1092177 1424301 1792251 1901197 2701701 3276531 4272903 5376753 5703591 8105103 9020573 12818709 16130259 17110773 22314049 27061719 38456127 51332319 66942147 81185157 153996957 200826441 243555471 423966931 602479323 730666413 1271900793 1807437969 3815702379 11447107137 34341321411