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235913328 = 24327283827
BaseRepresentation
bin11100000111111…
…00000001110000
3121102220122020200
432003330001300
5440343211303
635224235200
75563141650
oct1603740160
9542818220
10235913328
111111921a2
126700bb00
1339b4c9b1
1423490360
1515aa03a3
hexe0fc070

235913328 has 120 divisors (see below), whose sum is σ = 758130048. Its totient is φ = 67084416.

The previous prime is 235913311. The next prime is 235913371. The reversal of 235913328 is 823319532.

235913328 is a `hidden beast` number, since 235 + 91 + 332 + 8 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 235913292 and 235913301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284851 + ... + 285677.

Almost surely, 2235913328 is an apocalyptic number.

235913328 is a gapful number since it is divisible by the number (28) 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 235913328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379065024).

235913328 is an abundant number, since it is smaller than the sum of its proper divisors (522216720).

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

235913328 is a wasteful number, since it uses less digits than its factorization.

235913328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1122 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 235913328 is about 15359.4703033666. The cubic root of 235913328 is about 617.8990000527.

The spelling of 235913328 in words is "two hundred thirty-five million, nine hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 283 336 504 566 827 849 1008 1132 1654 1698 1981 2264 2481 2547 3308 3396 3962 4528 4962 5094 5789 5943 6616 6792 7443 7924 9924 10188 11578 11886 13232 13584 14886 15848 17367 17829 19848 20376 23156 23772 29772 31696 34734 35658 39696 40752 46312 47544 52101 59544 69468 71316 92624 95088 104202 119088 138936 142632 208404 234041 277872 285264 416808 468082 702123 833616 936164 1404246 1638287 1872328 2106369 2808492 3276574 3744656 4212738 4914861 5616984 6553148 8425476 9829722 11233968 13106296 14744583 16850952 19659444 26212592 29489166 33701904 39318888 58978332 78637776 117956664 235913328