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234343322424 = 233314914934877
BaseRepresentation
bin1101101000111111110…
…0110101001100111000
3211101212210022020011000
43122033330311030320
512314413342304144
6255353354405000
722634150242311
oct3321774651470
9741783266130
10234343322424
11904257726a2
1239501130760
1319138491633
14b4b12cd608
15616853d769
hex368ff35338

234343322424 has 128 divisors (see below), whose sum is σ = 655895880000. Its totient is φ = 77522314752.

The previous prime is 234343322417. The next prime is 234343322429. The reversal of 234343322424 is 424223343432.

234343322424 is a `hidden beast` number, since 2 + 343 + 43 + 32 + 242 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234343322429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48048274 + ... + 48053150.

Almost surely, 2234343322424 is an apocalyptic number.

234343322424 is a gapful number since it is divisible by the number (24) 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 234343322424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327947940000).

234343322424 is an abundant number, since it is smaller than the sum of its proper divisors (421552557576).

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

234343322424 is a wasteful number, since it uses less digits than its factorization.

234343322424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 6524 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

Adding to 234343322424 its reverse (424223343432), we get a palindrome (658566665856).

The spelling of 234343322424 in words is "two hundred thirty-four billion, three hundred forty-three million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 894 1192 1341 1493 1788 2682 2986 3576 4023 4479 4877 5364 5972 8046 8958 9754 10728 11944 13437 14631 16092 17916 19508 26874 29262 32184 35832 39016 40311 43893 53748 58524 80622 87786 107496 117048 131679 161244 175572 222457 263358 322488 351144 444914 526716 667371 726673 889828 1053432 1334742 1453346 1779656 2002113 2180019 2669484 2906692 4004226 4360038 5338968 5813384 6006339 6540057 7281361 8008452 8720076 12012678 13080114 14562722 16016904 17440152 19620171 21844083 24025356 26160228 29125444 39240342 43688166 48050712 52320456 58250888 65532249 78480684 87376332 131064498 156961368 174752664 196596747 262128996 393193494 524257992 786386988 1084922789 1572773976 2169845578 3254768367 4339691156 6509536734 8679382312 9764305101 13019073468 19528610202 26038146936 29292915303 39057220404 58585830606 78114440808 117171661212 234343322424