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234442032 = 243112961251
BaseRepresentation
bin11011111100101…
…00110100110000
3121100010220000020
431332110310300
5440004121112
635132523440
75544503316
oct1576246460
9540126006
10234442032
11110377850
1266620580
13397560c6
14231ca0b6
15158ae48c
hexdf94d30

234442032 has 160 divisors (see below), whose sum is σ = 697455360. Its totient is φ = 67200000.

The previous prime is 234442009. The next prime is 234442051. The reversal of 234442032 is 230244432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 234441993 and 234442011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933907 + ... + 934157.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2234442032 is an apocalyptic number.

234442032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 15311×15312.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348727680).

234442032 is an abundant number, since it is smaller than the sum of its proper divisors (463013328).

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

234442032 is a wasteful number, since it uses less digits than its factorization.

234442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 234442032 is about 15311.4999918362. The cubic root of 234442032 is about 616.6117916920.

Adding to 234442032 its reverse (230244432), we get a palindrome (464686464).

The spelling of 234442032 in words is "two hundred thirty-four million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 61 66 87 88 116 122 132 174 176 183 232 244 251 264 319 348 366 464 488 502 528 638 671 696 732 753 957 976 1004 1276 1342 1392 1464 1506 1769 1914 2008 2013 2552 2684 2761 2928 3012 3538 3828 4016 4026 5104 5307 5368 5522 6024 7076 7279 7656 8052 8283 10614 10736 11044 12048 14152 14558 15311 15312 16104 16566 19459 21228 21837 22088 28304 29116 30622 32208 33132 38918 42456 43674 44176 45933 58232 58377 61244 66264 77836 80069 84912 87348 91866 116464 116754 122488 132528 155672 160138 168421 174696 183732 233508 240207 244976 311344 320276 336842 349392 367464 444019 467016 480414 505263 640552 673684 734928 888038 934032 960828 1010526 1281104 1332057 1347368 1776076 1921656 2021052 2664114 2694736 3552152 3843312 4042104 4884209 5328228 7104304 8084208 9768418 10656456 14652627 19536836 21312912 29305254 39073672 58610508 78147344 117221016 234442032