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235123434 = 23271323792
BaseRepresentation
bin11100000001110…
…11001011101010
3121101102111201100
432000323023222
5440142422214
635155302230
75553342030
oct1600731352
9541374640
10235123434
111107a2797
12668aa976
13399342c0
1423326550
1515996309
hexe03b2ea

235123434 has 144 divisors (see below), whose sum is σ = 662643072. Its totient is φ = 58563648.

The previous prime is 235123391. The next prime is 235123439. The reversal of 235123434 is 434321532.

235123434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 235123398 and 235123407.

It is not an unprimeable number, because it can be changed into a prime (235123439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2976207 + ... + 2976285.

It is an arithmetic number, because the mean of its divisors is an integer number (4601688).

Almost surely, 2235123434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235123434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331321536).

235123434 is an abundant number, since it is smaller than the sum of its proper divisors (427519638).

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

235123434 is a wasteful number, since it uses less digits than its factorization.

235123434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 127 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 235123434 is about 15333.7351614015. The cubic root of 235123434 is about 617.2086046117.

Adding to 235123434 its reverse (434321532), we get a palindrome (669444966).

The spelling of 235123434 in words is "two hundred thirty-five million, one hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 79 91 117 126 138 158 161 182 207 234 237 273 299 322 414 474 483 546 553 598 711 819 897 966 1027 1106 1422 1449 1638 1659 1794 1817 2054 2093 2691 2898 3081 3318 3634 4186 4977 5382 5451 6162 6241 6279 7189 9243 9954 10902 12482 12558 12719 14378 16353 18486 18723 18837 21567 23621 25438 32706 37446 37674 38157 43134 43687 47242 56169 64701 70863 76314 81133 87374 112338 114471 129402 131061 141726 143543 162266 165347 212589 228942 243399 262122 287086 330694 393183 425178 430629 486798 496041 567931 730197 786366 861258 992082 1004801 1135862 1291887 1460394 1488123 1703793 1866059 2009602 2583774 2976246 3014403 3407586 3732118 5111379 5598177 6028806 9043209 10222758 11196354 13062413 16794531 18086418 26124826 33589062 39187239 78374478 117561717 235123434