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23242032 = 2433116773
BaseRepresentation
bin101100010101…
…0010100110000
31121201211002000
41120222110300
521422221112
62150054000
7401361012
oct130522460
947654060
1023242032
11121350a0
12794a300
134a79ca8
1431301b2
1520917dc
hex162a530

23242032 has 160 divisors (see below), whose sum is σ = 74876160. Its totient is φ = 6842880.

The previous prime is 23242027. The next prime is 23242067. The reversal of 23242032 is 23024232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23241996 and 23242014.

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, 318348 + ... + 318420.

It is an arithmetic number, because the mean of its divisors is an integer number (467976).

Almost surely, 223242032 is an apocalyptic number.

23242032 is a gapful number since it is divisible by the number (22) 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 23242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37438080).

23242032 is an abundant number, since it is smaller than the sum of its proper divisors (51634128).

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

23242032 is a wasteful number, since it uses less digits than its factorization.

23242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23242032 is about 4820.9990665836. Note that the first 3 decimals coincide. The cubic root of 23242032 is about 285.3807653022.

Adding to 23242032 its reverse (23024232), we get a palindrome (46266264).

It can be divided in two parts, 2324 and 2032, that added together give a square (4356 = 662).

The spelling of 23242032 in words is "twenty-three million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 67 72 73 88 99 108 132 134 144 146 176 198 201 216 219 264 268 292 297 396 402 432 438 528 536 584 594 603 657 737 792 803 804 876 1072 1168 1188 1206 1314 1474 1584 1606 1608 1752 1809 1971 2211 2376 2409 2412 2628 2948 3212 3216 3504 3618 3942 4422 4752 4818 4824 4891 5256 5896 6424 6633 7227 7236 7884 8844 9636 9648 9782 10512 11792 12848 13266 14454 14472 14673 15768 17688 19272 19564 19899 21681 26532 28908 28944 29346 31536 35376 38544 39128 39798 43362 44019 53064 53801 57816 58692 78256 79596 86724 88038 106128 107602 115632 117384 132057 159192 161403 173448 176076 215204 234768 264114 318384 322806 346896 352152 430408 484209 528228 645612 704304 860816 968418 1056456 1291224 1452627 1936836 2112912 2582448 2905254 3873672 5810508 7747344 11621016 23242032