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232542324 = 223274171317
BaseRepresentation
bin11011101110001…
…01000001110100
3121012120101002200
431313011001310
5434012323244
635024104500
75522401650
oct1567050164
9535511080
10232542324
1110a29a543
1265a65130
133923c511
1422c53a60
1515636669
hexddc5074

232542324 has 144 divisors (see below), whose sum is σ = 700068096. Its totient is φ = 63705600.

The previous prime is 232542319. The next prime is 232542341. The reversal of 232542324 is 423245232.

It is a happy number.

232542324 is a `hidden beast` number, since 232 + 5 + 423 + 2 + 4 = 666.

232542324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 733414 + ... + 733730.

It is an arithmetic number, because the mean of its divisors is an integer number (4861584).

Almost surely, 2232542324 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 232542324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350034048).

232542324 is an abundant number, since it is smaller than the sum of its proper divisors (467525772).

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

232542324 is a wasteful number, since it uses less digits than its factorization.

232542324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 232542324 is about 15249.3384774553. The cubic root of 232542324 is about 614.9417831072.

Adding to 232542324 its reverse (423245232), we get a palindrome (655787556).

The spelling of 232542324 in words is "two hundred thirty-two million, five hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 71 82 84 123 126 142 164 213 246 252 284 287 317 369 426 492 497 574 634 639 738 852 861 951 994 1148 1268 1278 1476 1491 1722 1902 1988 2219 2556 2583 2853 2911 2982 3444 3804 4438 4473 5166 5706 5822 5964 6657 8733 8876 8946 10332 11412 11644 12997 13314 17466 17892 19971 20377 22507 25994 26199 26628 34932 38991 39942 40754 45014 51988 52398 61131 67521 77982 79884 81508 90028 90979 104796 116973 122262 135042 155964 157549 181958 183393 202563 233946 244524 270084 272937 315098 363916 366786 405126 467892 472647 545874 630196 733572 810252 818811 922787 945294 1091748 1417941 1637622 1845574 1890588 2768361 2835882 3275244 3691148 5536722 5671764 6459509 8305083 11073444 12919018 16610166 19378527 25838036 33220332 38757054 58135581 77514108 116271162 232542324