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235384272 = 24334711593
BaseRepresentation
bin11100000011110…
…10110111010000
3121101220202112000
432001322313100
5440224244042
635205034000
75555506344
oct1601726720
9541822460
10235384272
11110960762
12669b5900
13399c5c46
1423393624
15159e874c
hexe07add0

235384272 has 80 divisors (see below), whose sum is σ = 690074880. Its totient is φ = 76785408.

The previous prime is 235384223. The next prime is 235384273. The reversal of 235384272 is 272483532.

235384272 is a `hidden beast` number, since 2 + 3 + 5 + 384 + 272 = 666.

235384272 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235384273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14508 + ... + 26100.

It is an arithmetic number, because the mean of its divisors is an integer number (8625936).

Almost surely, 2235384272 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 235384272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345037440).

235384272 is an abundant number, since it is smaller than the sum of its proper divisors (454690608).

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

235384272 is a wasteful number, since it uses less digits than its factorization.

235384272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11657 (or 11645 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 235384272 is about 15342.2381678815. The cubic root of 235384272 is about 617.4367570606.

The spelling of 235384272 in words is "two hundred thirty-five million, three hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 11593 20304 23186 34779 46372 69558 92744 104337 139116 185488 208674 278232 313011 417348 544871 556464 626022 834696 1089742 1252044 1634613 1669392 2179484 2504088 3269226 4358968 4903839 5008176 6538452 8717936 9807678 13076904 14711517 19615356 26153808 29423034 39230712 58846068 78461424 117692136 235384272