Search a number
-
+
41204430 = 23351747191
BaseRepresentation
bin1001110100101…
…1101011001110
32212112101212000
42131023223032
541022020210
64031053130
71010142351
oct235135316
985471760
1041204430
1121293553
12119711a6
1386c8b27
145688298
15393dac0
hex274bace

41204430 has 128 divisors (see below), whose sum is σ = 119439360. Its totient is φ = 10068480.

The previous prime is 41204399. The next prime is 41204459. The reversal of 41204430 is 3440214.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215635 + ... + 215825.

It is an arithmetic number, because the mean of its divisors is an integer number (933120).

Almost surely, 241204430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41204430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59719680).

41204430 is an abundant number, since it is smaller than the sum of its proper divisors (78234930).

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

41204430 is a wasteful number, since it uses less digits than its factorization.

41204430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 41204430 is about 6419.0676893144. The cubic root of 41204430 is about 345.3938790681.

Adding to 41204430 its reverse (3440214), we get a palindrome (44644644).

The spelling of 41204430 in words is "forty-one million, two hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 47 51 54 85 90 94 102 135 141 153 170 191 235 255 270 282 306 382 423 459 470 510 573 705 765 799 846 918 955 1146 1269 1410 1530 1598 1719 1910 2115 2295 2397 2538 2865 3247 3438 3995 4230 4590 4794 5157 5730 6345 6494 7191 7990 8595 8977 9741 10314 11985 12690 14382 16235 17190 17954 19482 21573 23970 25785 26931 29223 32470 35955 43146 44885 48705 51570 53862 58446 71910 80793 87669 89770 97410 107865 134655 146115 152609 161586 175338 215730 242379 269310 292230 305218 403965 438345 457827 484758 763045 807930 876690 915654 1211895 1373481 1526090 2289135 2423790 2746962 4120443 4578270 6867405 8240886 13734810 20602215 41204430