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34235130540 = 22351364168473
BaseRepresentation
bin11111111000100100…
…101010001010101100
310021100220102211021210
4133320210222022230
51030103143134130
623421041354420
72321243544132
oct377044521254
9107326384253
1034235130540
1113578925316
126775338a10
1332c79210c0
14192aac7752
15d558475b0
hex7f892a2ac

34235130540 has 96 divisors (see below), whose sum is σ = 103394644416. Its totient is φ = 8413839360.

The previous prime is 34235130529. The next prime is 34235130593. The reversal of 34235130540 is 4503153243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34235130498 and 34235130507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465744 + ... + 534216.

It is an arithmetic number, because the mean of its divisors is an integer number (1077027546).

Almost surely, 234235130540 is an apocalyptic number.

34235130540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34235130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51697322208).

34235130540 is an abundant number, since it is smaller than the sum of its proper divisors (69159513876).

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

34235130540 is a wasteful number, since it uses less digits than its factorization.

34235130540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69139 (or 69137 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 34235130540 its reverse (4503153243), we get a palindrome (38738283783).

The spelling of 34235130540 in words is "thirty-four billion, two hundred thirty-five million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 641 780 1282 1923 2564 3205 3846 6410 7692 8333 9615 12820 16666 19230 24999 33332 38460 41665 49998 68473 83330 99996 124995 136946 166660 205419 249990 273892 342365 410838 499980 684730 821676 890149 1027095 1369460 1780298 2054190 2670447 3560596 4108380 4450745 5340894 8901490 10681788 13352235 17802980 26704470 43891193 53408940 87782386 131673579 175564772 219455965 263347158 438911930 526694316 570585509 658367895 877823860 1141171018 1316735790 1711756527 2282342036 2633471580 2852927545 3423513054 5705855090 6847026108 8558782635 11411710180 17117565270 34235130540