Search a number
-
+
234332233432 = 231143711635351
BaseRepresentation
bin1101101000111101001…
…0100001111011011000
3211101212000102211220121
43122033102201323120
512314403022432212
6255352321003024
722633654056013
oct3321722417330
9741760384817
10234332233432
119041a489340
12394b9483474
13191360ab1bb
14b4ada4437a
15616759cd07
hex368f4a1ed8

234332233432 has 128 divisors (see below), whose sum is σ = 500515614720. Its totient is φ = 101923920000.

The previous prime is 234332233409. The next prime is 234332233439.

234332233432 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234332233439) 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, 43789557 + ... + 43794907.

It is an arithmetic number, because the mean of its divisors is an integer number (3910278240).

Almost surely, 2234332233432 is an apocalyptic number.

234332233432 is a gapful number since it is divisible by the number (22) 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 234332233432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250257807360).

234332233432 is an abundant number, since it is smaller than the sum of its proper divisors (266183381288).

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

234332233432 is a wasteful number, since it uses less digits than its factorization.

234332233432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5641 counting only the distinct ones).

The product of its digits is 186624, while the sum is 34.

It can be divided in two parts, 234332 and 233432, that added together give a palindrome (467764).

The spelling of 234332233432 in words is "two hundred thirty-four billion, three hundred thirty-two million, two hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 43 44 71 86 88 142 163 172 284 326 344 473 568 652 781 946 1304 1562 1793 1892 3053 3124 3586 3784 5351 6106 6248 7009 7172 10702 11573 12212 14018 14344 21404 23146 24424 28036 33583 42808 46292 56072 58861 67166 77099 92584 117722 127303 134332 154198 230093 235444 254606 268664 308396 379921 460186 470888 497639 509212 616792 759842 872213 920372 995278 1018424 1519684 1744426 1840744 1990556 2531023 3039368 3488852 3981112 4179131 5062046 5474029 6977704 8358262 9594343 10124092 10948058 16336603 16716524 19188686 20248184 21896116 32673206 33433048 37505159 38377372 43792232 61927123 65346412 75010318 76754744 123854246 130692824 150020636 179702633 247708492 300041272 359405266 412556749 495416984 681198353 718810532 825113498 1362396706 1437621064 1650226996 2662866289 2724793412 3300453992 5325732578 5449586824 10651465156 21302930312 29291529179 58583058358 117166116716 234332233432