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234343024416 = 25323473496719
BaseRepresentation
bin1101101000111111101…
…1101100011100100000
3211101212202202002100200
43122033323230130200
512314413303240131
6255353344145200
722634144561424
oct3321773543440
9741782662320
10234343024416
1190425589806
1239501008200
13191383b8ab7
14b4b1252b84
1561684d02e6
hex368feec720

234343024416 has 144 divisors (see below), whose sum is σ = 670348224000. Its totient is φ = 77654490624.

The previous prime is 234343024393. The next prime is 234343024469. The reversal of 234343024416 is 614420343432.

234343024416 is a `hidden beast` number, since 2 + 343 + 4 + 302 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34874305 + ... + 34881023.

It is an arithmetic number, because the mean of its divisors is an integer number (4655196000).

Almost surely, 2234343024416 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 234343024416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335174112000).

234343024416 is an abundant number, since it is smaller than the sum of its proper divisors (436005199584).

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

234343024416 is a wasteful number, since it uses less digits than its factorization.

234343024416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7420 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 234343024416 its reverse (614420343432), we get a palindrome (848763367848).

The spelling of 234343024416 in words is "two hundred thirty-four billion, three hundred forty-three million, twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 347 349 694 698 1041 1047 1388 1396 2082 2094 2776 2792 3123 3141 4164 4188 5552 5584 6246 6282 6719 8328 8376 11104 11168 12492 12564 13438 16656 16752 20157 24984 25128 26876 33312 33504 40314 49968 50256 53752 60471 80628 99936 100512 107504 120942 121103 161256 215008 241884 242206 322512 363309 483768 484412 645024 726618 967536 968824 1089927 1453236 1935072 1937648 2179854 2331493 2344931 2906472 3875296 4359708 4662986 4689862 5812944 6994479 7034793 8719416 9325972 9379724 11625888 13988958 14069586 17438832 18651944 18759448 20983437 21104379 27977916 28139172 34877664 37303888 37518896 41966874 42208758 55955832 56278344 74607776 75037792 83933748 84417516 111911664 112556688 167867496 168835032 223823328 225113376 335734992 337670064 671469984 675340128 813691057 1627382114 2441073171 3254764228 4882146342 6509528456 7323219513 9764292684 13019056912 14646439026 19528585368 26038113824 29292878052 39057170736 58585756104 78114341472 117171512208 234343024416