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441421320 = 2335171511433
BaseRepresentation
bin11010010011111…
…000111000001000
31010202121112012210
4122103320320020
51401000440240
6111445105120
713640006424
oct3223707010
91122545183
10441421320
1120719740a
121039b81a0
13705b5062
14428a7b84
1528b46780
hex1a4f8e08

441421320 has 128 divisors (see below), whose sum is σ = 1412432640. Its totient is φ = 109977600.

The previous prime is 441421283. The next prime is 441421349. The reversal of 441421320 is 23124144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307324 + ... + 308756.

It is an arithmetic number, because the mean of its divisors is an integer number (11034630).

Almost surely, 2441421320 is an apocalyptic number.

441421320 is a gapful number since it is divisible by the number (40) 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 441421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706216320).

441421320 is an abundant number, since it is smaller than the sum of its proper divisors (971011320).

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

441421320 is a wasteful number, since it uses less digits than its factorization.

441421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441421320 is about 21010.0290337734. The cubic root of 441421320 is about 761.4085834720.

Adding to 441421320 its reverse (23124144), we get a palindrome (464545464).

The spelling of 441421320 in words is "four hundred forty-one million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 151 170 204 255 302 340 408 453 510 604 680 755 906 1020 1208 1433 1510 1812 2040 2265 2567 2866 3020 3624 4299 4530 5134 5732 6040 7165 7701 8598 9060 10268 11464 12835 14330 15402 17196 18120 20536 21495 24361 25670 28660 30804 34392 38505 42990 48722 51340 57320 61608 73083 77010 85980 97444 102680 121805 146166 154020 171960 194888 216383 243610 292332 308040 365415 432766 487220 584664 649149 730830 865532 974440 1081915 1298298 1461660 1731064 2163830 2596596 2923320 3245745 3678511 4327660 5193192 6491490 7357022 8655320 11035533 12982980 14714044 18392555 22071066 25965960 29428088 36785110 44142132 55177665 73570220 88284264 110355330 147140440 220710660 441421320