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235384128 = 2632758379
BaseRepresentation
bin11100000011110…
…10110101000000
3121101220202022200
432001322311000
5440224243003
635205033200
75555506050
oct1601726500
9541822280
10235384128
11110960641
12669b5800
13399c5b65
1423393560
15159e86a3
hexe07ad40

235384128 has 84 divisors (see below), whose sum is σ = 771083040. Its totient is φ = 67251456.

The previous prime is 235384117. The next prime is 235384133. The reversal of 235384128 is 821483532.

235384128 is a `hidden beast` number, since 235 + 3 + 8 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a junction number, because it is equal to n+sod(n) for n = 235384092 and 235384101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25158 + ... + 33221.

It is an arithmetic number, because the mean of its divisors is an integer number (9179560).

Almost surely, 2235384128 is an apocalyptic number.

235384128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

235384128 is an abundant number, since it is smaller than the sum of its proper divisors (535698912).

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

235384128 is a wasteful number, since it uses less digits than its factorization.

235384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58404 (or 58391 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 235384128 is about 15342.2334749540. The cubic root of 235384128 is about 617.4366311518.

The spelling of 235384128 in words is "two hundred thirty-five million, three hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 58379 116758 175137 233516 350274 408653 467032 525411 700548 817306 934064 1050822 1225959 1401096 1634612 1868128 2101644 2451918 2802192 3269224 3677877 3736256 4203288 4903836 5604384 6538448 7355754 8406576 9807672 11208768 13076896 14711508 16813152 19615344 26153792 29423016 33626304 39230688 58846032 78461376 117692064 235384128