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234442430404 = 22731322343961
BaseRepresentation
bin1101101001010111011…
…0111001011111000100
3211102010200210102201221
43122111312321133010
512320114230233104
6255411254530124
722636462531000
oct3322566713704
9742120712657
10234442430404
1190476704a16
123952a366944
1319152b82100
14b4c052b700
1561720b8c54
hex3695db97c4

234442430404 has 144 divisors (see below), whose sum is σ = 540627091200. Its totient is φ = 88711983360.

The previous prime is 234442430389. The next prime is 234442430423. The reversal of 234442430404 is 404034244432.

234442430404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 234442430404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5310984 + ... + 5354944.

It is an arithmetic number, because the mean of its divisors is an integer number (3754354800).

Almost surely, 2234442430404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234442430404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270313545600).

234442430404 is an abundant number, since it is smaller than the sum of its proper divisors (306184660796).

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

234442430404 is a wasteful number, since it uses less digits than its factorization.

234442430404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44035 (or 44006 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 234442430404 its reverse (404034244432), we get a palindrome (638476674836).

The spelling of 234442430404 in words is "two hundred thirty-four billion, four hundred forty-two million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 4 7 13 14 23 26 28 46 49 52 91 92 98 161 169 182 196 299 322 338 343 364 598 637 644 676 686 1127 1183 1196 1274 1372 2093 2254 2366 2548 3887 4186 4459 4508 4732 7774 7889 8281 8372 8918 14651 15548 15778 16562 17836 27209 29302 31556 33124 43961 54418 57967 58604 87922 102557 108836 115934 175844 190463 205114 231868 307727 380926 410228 571493 615454 761852 1011103 1142986 1230908 1333241 2022206 2154089 2285972 2666482 4000451 4044412 4308178 5332964 7077721 7429409 8000902 8616356 13144339 14155442 14858818 15078623 16001804 26288678 28003157 28310884 29717636 30157246 49544047 52005863 52577356 56006314 60314492 92010373 99088094 104011726 112012628 170876407 184020746 196022099 198176188 208023452 341752814 346808329 364041041 368041492 392044198 644072611 683505628 693616658 728082082 784088396 1196134849 1288145222 1387233316 1456164164 2392269698 2548287287 2576290444 4508508277 4784539396 5096574574 8372943943 9017016554 10193149148 16745887886 18034033108 33491775772 58610607601 117221215202 234442430404