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232433340342 = 23724170927197
BaseRepresentation
bin1101100001111000011…
…0110100111110110110
3211012221200100002021220
43120132012310332312
512302010413342332
6254440045051210
722535625536400
oct3303606647666
9735850302256
10232433340342
118a635619905
1239069556b06
1318bc2874418
14b36d787b70
1560a5a0cd2c
hex361e1b4fb6

232433340342 has 96 divisors (see below), whose sum is σ = 554754342240. Its totient is φ = 64696020480.

The previous prime is 232433340331. The next prime is 232433340371. The reversal of 232433340342 is 243043334232.

It is a super-3 number, since 3×2324333403423 (a number of 35 digits) contains 333 as substring.

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, 8532688 + ... + 8559884.

It is an arithmetic number, because the mean of its divisors is an integer number (5778691065).

Almost surely, 2232433340342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232433340342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277377171120).

232433340342 is an abundant number, since it is smaller than the sum of its proper divisors (322321001898).

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

232433340342 is a wasteful number, since it uses less digits than its factorization.

232433340342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27966 (or 27959 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 232433340342 its reverse (243043334232), we get a palindrome (475476674574).

The spelling of 232433340342 in words is "two hundred thirty-two billion, four hundred thirty-three million, three hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 709 861 1418 1722 2009 2127 4018 4254 4963 6027 9926 12054 14889 27197 29069 29778 34741 54394 58138 69482 81591 87207 104223 163182 174414 190379 203483 208446 380758 406966 571137 610449 1115077 1142274 1220898 1332653 1424381 2230154 2665306 2848762 3345231 3997959 4273143 6690462 7805539 7995918 8546286 15611078 19282673 23416617 38565346 46833234 54638773 57848019 109277546 115696038 134978711 163916319 269957422 327832638 404936133 790589593 809872266 944850977 1581179186 1889701954 2371768779 2834552931 4743537558 5534127151 5669105862 11068254302 16602381453 33204762906 38738890057 77477780114 116216670171 232433340342