Search a number
-
+
34026144334 = 27131749922039
BaseRepresentation
bin11111101100000111…
…011100001001001110
310020211100012020002221
4133230013130021032
51024141143104314
623344214205554
72313125311660
oct375407341116
9106740166087
1034026144334
1113480964946
1267173538ba
13329353b820
14190b046530
15d42315824
hex7ec1dc24e

34026144334 has 64 divisors (see below), whose sum is σ = 66648960000. Its totient is φ = 12643112448.

The previous prime is 34026144331. The next prime is 34026144413. The reversal of 34026144334 is 43344162043.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 34026144334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34026144331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532887 + ... + 1554925.

It is an arithmetic number, because the mean of its divisors is an integer number (1041390000).

Almost surely, 234026144334 is an apocalyptic number.

34026144334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34026144334 is a deficient number, since it is larger than the sum of its proper divisors (32622815666).

34026144334 is a wasteful number, since it uses less digits than its factorization.

34026144334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22577.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 34026144334 in words is "thirty-four billion, twenty-six million, one hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 7 13 14 17 26 34 91 119 182 221 238 442 499 998 1547 3094 3493 6487 6986 8483 12974 16966 22039 44078 45409 59381 90818 110279 118762 154273 220558 286507 308546 374663 573014 749326 771953 1543906 2005549 2622641 4011098 4870619 5245282 9741238 10997461 21994922 34094333 68188666 76982227 142966993 153964454 186956837 285933986 373913674 1000768951 1308697859 2001537902 2430438881 2617395718 4860877762 17013072167 34026144334