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34223340305 = 57111743277439
BaseRepresentation
bin11111110111110111…
…101011101100010001
310021100002020211010102
4133313313223230101
51030042133342210
623415540542145
72321041410230
oct376767535421
9107302224112
1034223340305
1113572202120
1267713b1955
1332c535372b
1419292d8b17
15d547b8ea5
hex7f7debb11

34223340305 has 128 divisors (see below), whose sum is σ = 55801405440. Its totient is φ = 19496816640.

The previous prime is 34223340301. The next prime is 34223340311. The reversal of 34223340305 is 50304332243.

It is not a de Polignac number, because 34223340305 - 22 = 34223340301 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34223340301) 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, 77957276 + ... + 77957714.

It is an arithmetic number, because the mean of its divisors is an integer number (435948480).

Almost surely, 234223340305 is an apocalyptic number.

34223340305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34223340305 is a deficient number, since it is larger than the sum of its proper divisors (21578065135).

34223340305 is a wasteful number, since it uses less digits than its factorization.

34223340305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799.

The product of its (nonzero) digits is 25920, while the sum is 29.

Adding to 34223340305 its reverse (50304332243), we get a palindrome (84527672548).

The spelling of 34223340305 in words is "thirty-four billion, two hundred twenty-three million, three hundred forty thousand, three hundred five".

Divisors: 1 5 7 11 17 35 43 55 77 85 119 187 215 277 301 385 439 473 595 731 935 1309 1385 1505 1939 2195 2365 3047 3073 3311 3655 4709 4829 5117 6545 7463 8041 9695 11911 15235 15365 16555 18877 21329 23545 24145 25585 32963 33803 37315 40205 51799 52241 56287 59555 82093 83377 94385 106645 121603 131021 132139 164815 169015 202487 207647 258995 261205 281435 320909 362593 410465 416885 574651 608015 655105 660695 851221 917147 1012435 1038235 1337633 1417409 1453529 1604545 1812965 2067251 2227357 2246363 2873255 3529999 4256105 4585735 5228929 6688165 7087045 7267645 9363431 10336255 11136785 11231815 14470757 15591499 17649995 22739761 24709993 26144645 36602503 46817155 57518219 72353785 77957495 88891793 113698805 123549965 159178327 183012515 287591095 402627533 444458965 622242551 795891635 977809723 2013137665 3111212755 4889048615 6844668061 34223340305