Search a number
-
+
34012351345 = 5719414367433
BaseRepresentation
bin11111101011010010…
…110100101101110001
310020210101020110200111
4133223102310231301
51024124130220340
623343002421321
72312600134120
oct375322645561
9106711213614
1034012351345
11134740a3a85
126712801841
13329071c6ab
141909295ab7
15d40eddaea
hex7eb4b4b71

34012351345 has 128 divisors (see below), whose sum is σ = 52356648960. Its totient is φ = 20692869120.

The previous prime is 34012351327. The next prime is 34012351349. The reversal of 34012351345 is 54315321043.

It is not a de Polignac number, because 34012351345 - 213 = 34012343153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34012351349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78550249 + ... + 78550681.

It is an arithmetic number, because the mean of its divisors is an integer number (409036320).

Almost surely, 234012351345 is an apocalyptic number.

34012351345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34012351345 is a deficient number, since it is larger than the sum of its proper divisors (18344297615).

34012351345 is a wasteful number, since it uses less digits than its factorization.

34012351345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 34012351345 its reverse (54315321043), we get a palindrome (88327672388).

The spelling of 34012351345 in words is "thirty-four billion, twelve million, three hundred fifty-one thousand, three hundred forty-five".

Divisors: 1 5 7 19 35 41 43 67 95 133 205 215 287 301 335 433 469 665 779 817 1273 1435 1505 1763 2165 2345 2747 2881 3031 3895 4085 5453 5719 6365 8227 8815 8911 12341 13735 14405 15155 17753 18619 19229 20167 27265 28595 29011 33497 41135 44555 52193 54739 57589 61705 88765 93095 96145 100835 118121 124271 130333 145055 167485 203077 234479 260965 273695 287945 337307 353761 365351 383173 551209 590605 621355 651665 763379 826847 1015385 1172395 1189451 1247473 1686535 1768805 1826755 1915865 2244299 2361149 2476327 2756045 3816895 3858463 4134235 5343653 5947255 6237365 8326157 8732311 11221495 11805745 12381635 14504201 15710093 19292315 22599569 23701987 26718265 41630785 43661555 51146393 72521005 78550465 101529407 112997845 118509935 158196983 165913909 255731965 358024751 507647035 790984915 829569545 971781467 1790123755 4858907335 6802470269 34012351345