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441312430 = 2513192961101
BaseRepresentation
bin11010010011011…
…110010010101110
31010202101222211211
4122103132102232
51400433444210
6111442505034
713636044106
oct3223362256
91122358754
10441312430
11207122619
1210396517a
1370577620
144287a206
1528b2438a
hex1a4de4ae

441312430 has 128 divisors (see below), whose sum is σ = 956188800. Its totient is φ = 145152000.

The previous prime is 441312409. The next prime is 441312439. The reversal of 441312430 is 34213144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441312439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4369380 + ... + 4369480.

It is an arithmetic number, because the mean of its divisors is an integer number (7470225).

Almost surely, 2441312430 is an apocalyptic number.

441312430 is an abundant number, since it is smaller than the sum of its proper divisors (514876370).

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

441312430 is a wasteful number, since it uses less digits than its factorization.

441312430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 441312430 is about 21007.4374924692. The cubic root of 441312430 is about 761.3459701249.

Adding to 441312430 its reverse (34213144), we get a palindrome (475525574).

The spelling of 441312430 in words is "four hundred forty-one million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 5 10 13 19 26 29 38 58 61 65 95 101 122 130 145 190 202 247 290 305 377 494 505 551 610 754 793 1010 1102 1159 1235 1313 1586 1769 1885 1919 2318 2470 2626 2755 2929 3538 3770 3838 3965 5510 5795 5858 6161 6565 7163 7930 8845 9595 11590 12322 13130 14326 14645 15067 17690 19190 22997 24947 29290 30134 30805 33611 35815 38077 45994 49894 55651 61610 67222 71630 75335 76154 80093 111302 114985 117059 124735 150670 160186 168055 178669 190385 229970 234118 249470 278255 336110 357338 380770 400465 436943 556510 585295 723463 800930 873886 893345 1170590 1446926 1521767 1786690 2184715 2322697 3043534 3394711 3617315 4369430 4645394 6789422 7234630 7608835 11613485 15217670 16973555 23226970 33947110 44131243 88262486 220656215 441312430