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234330020334 = 2343160776871
BaseRepresentation
bin1101101000111100101…
…0000101100111101110
3211101211212021102010000
43122033022011213232
512314401441122314
6255352201325130
722633626210564
oct3321712054756
9741755242100
10234330020334
1190419207633
12394b87967a6
13191357b4a87
14b4ad629a34
1561672b2209
hex368f2859ee

234330020334 has 80 divisors (see below), whose sum is σ = 542910652416. Its totient is φ = 75464816400.

The previous prime is 234330020329. The next prime is 234330020347. The reversal of 234330020334 is 433020033432.

234330020334 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 300 + 20 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 234330020298 and 234330020307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3009919 + ... + 3086789.

Almost surely, 2234330020334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234330020334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271455326208).

234330020334 is an abundant number, since it is smaller than the sum of its proper divisors (308580632082).

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

234330020334 is a wasteful number, since it uses less digits than its factorization.

234330020334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77523 (or 77514 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 234330020334 its reverse (433020033432), we get a palindrome (667350053766).

The spelling of 234330020334 in words is "two hundred thirty-four billion, three hundred thirty million, twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 607 837 1214 1674 1821 2511 3642 5022 5463 10926 16389 18817 32778 37634 49167 56451 76871 98334 112902 153742 169353 230613 338706 461226 508059 691839 1016118 1383678 1524177 2075517 2383001 3048354 4151034 4766002 6226551 7149003 12453102 14298006 21447009 42894018 46660697 64341027 93321394 128682054 139982091 193023081 279964182 386046162 419946273 839892546 1259838819 1446481607 2519677638 2892963214 3779516457 4339444821 7559032914 8678889642 13018334463 26036668926 39055003389 78110006778 117165010167 234330020334