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34344350145 = 32572231076329
BaseRepresentation
bin11111111111000101…
…010011000111000001
310021122111221202102100
4133333011103013001
51030314123201040
623435542341013
72324041105500
oct377705230701
9107574852370
1034344350145
1113624543656
1267a5a2a769
1333144421a1
14193b3d8837
15d6021db30
hex7ff1531c1

34344350145 has 144 divisors (see below), whose sum is σ = 72947122560. Its totient is φ = 14874951168.

The previous prime is 34344350143. The next prime is 34344350203. The reversal of 34344350145 is 54105344343.

It is not a de Polignac number, because 34344350145 - 21 = 34344350143 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34344350141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5423341 + ... + 5429669.

It is an arithmetic number, because the mean of its divisors is an integer number (506577240).

Almost surely, 234344350145 is an apocalyptic number.

34344350145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34344350145 is an abundant number, since it is smaller than the sum of its proper divisors (38602772415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34344350145 is a wasteful number, since it uses less digits than its factorization.

34344350145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 34344350145 its reverse (54105344343), we get a palindrome (88449694488).

The spelling of 34344350145 in words is "thirty-four billion, three hundred forty-four million, three hundred fifty thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 107 115 147 161 207 245 315 321 345 441 483 535 735 749 805 963 1035 1127 1449 1605 2205 2247 2415 2461 3381 3745 4815 5243 5635 6329 6741 7245 7383 10143 11235 12305 15729 16905 17227 18987 22149 26215 31645 33705 36915 44303 47187 50715 51681 56961 78645 86135 94935 110745 120589 132909 145567 155043 221515 235935 258405 284805 310121 361767 398727 436701 602945 664545 677203 727835 775215 930363 1018969 1085301 1310103 1550605 1808835 1993635 2031609 2183505 2791089 3056907 3386015 4651815 4740421 5094845 5426505 6094827 6550515 7132783 9170721 10158045 13955445 14221263 15284535 15575669 21398349 23702105 30474135 33182947 35663915 42663789 45853605 46727007 64195047 71106315 77878345 99548841 106991745 109029683 140181021 165914735 213318945 233635035 298646523 320975235 327089049 497744205 545148415 700905105 763207781 981267147 1493232615 1635445245 2289623343 3816038905 4906335735 6868870029 11448116715 34344350145