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235381328 = 24713413943
BaseRepresentation
bin11100000011110…
…10001001010000
3121101220121110222
432001322021100
5440224200303
635205012212
75555464640
oct1601721120
9541817428
10235381328
11110959526
12669b4068
13399c47c0
1423392520
15159e7938
hexe07a250

235381328 has 80 divisors (see below), whose sum is σ = 575129856. Its totient is φ = 90823680.

The previous prime is 235381327. The next prime is 235381339. The reversal of 235381328 is 823183532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235381327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57725 + ... + 61667.

Almost surely, 2235381328 is an apocalyptic number.

235381328 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 235381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287564928).

235381328 is an abundant number, since it is smaller than the sum of its proper divisors (339748528).

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

235381328 is a wasteful number, since it uses less digits than its factorization.

235381328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4006 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 235381328 is about 15342.1422233012. The cubic root of 235381328 is about 617.4341829133.

The spelling of 235381328 in words is "two hundred thirty-five million, three hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 287 328 364 533 574 656 728 1066 1148 1456 2132 2296 3731 3943 4264 4592 7462 7886 8528 14924 15772 27601 29848 31544 51259 55202 59696 63088 102518 110404 161663 205036 220808 323326 358813 410072 441616 646652 717626 820144 1131641 1293304 1435252 2101619 2263282 2586608 2870504 4203238 4526564 5741008 8406476 9053128 14711333 16812952 18106256 29422666 33625904 58845332 117690664 235381328