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34688348058 = 23713232762251
BaseRepresentation
bin100000010011100101…
…100010111110011010
310022112111020122211210
4200103211202332122
51032020204114213
623534031403550
72335416044040
oct402345427632
9108474218753
1034688348058
1113790739351
1268810835b6
13336a7a6450
141970d82390
15d8051e0c3
hex813962f9a

34688348058 has 64 divisors (see below), whose sum is σ = 89099200512. Its totient is φ = 8750808000.

The previous prime is 34688348047. The next prime is 34688348119. The reversal of 34688348058 is 85084388643.

It is a happy number.

It is a super-3 number, since 3×346883480583 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34688347989 and 34688348007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368568 + ... + 1393683.

It is an arithmetic number, because the mean of its divisors is an integer number (1392175008).

Almost surely, 234688348058 is an apocalyptic number.

34688348058 is an abundant number, since it is smaller than the sum of its proper divisors (54410852454).

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

34688348058 is a wasteful number, since it uses less digits than its factorization.

34688348058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762299.

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 34688348058 in words is "thirty-four billion, six hundred eighty-eight million, three hundred forty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 966 1794 2093 4186 6279 12558 2762251 5524502 8286753 16573506 19335757 35909263 38671514 58007271 63531773 71818526 107727789 116014542 127063546 190595319 215455578 251364841 381190638 444722411 502729682 754094523 825913049 889444822 1334167233 1508189046 1651826098 2477739147 2668334466 4955478294 5781391343 11562782686 17344174029 34688348058