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441345980 = 225434761179
BaseRepresentation
bin11010010011100…
…110011110111100
31010202110200212102
4122103212132330
51400441032410
6111443324232
713636243655
oct3223463674
91122420772
10441345980
11207145849
12103980678
137058998a
144288852c
1528b2e2a5
hex1a4e67bc

441345980 has 96 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 165070080.

The previous prime is 441345979. The next prime is 441345991. The reversal of 441345980 is 89543144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2465531 + ... + 2465709.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2441345980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441345980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

441345980 is an abundant number, since it is smaller than the sum of its proper divisors (548590660).

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

441345980 is a wasteful number, since it uses less digits than its factorization.

441345980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 441345980 is about 21008.2360040057. The cubic root of 441345980 is about 761.3652629647.

The spelling of 441345980 in words is "four hundred forty-one million, three hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 43 47 61 86 94 122 172 179 188 215 235 244 305 358 430 470 610 716 860 895 940 1220 1790 2021 2623 2867 3580 4042 5246 5734 7697 8084 8413 10105 10492 10919 11468 13115 14335 15394 16826 20210 21838 26230 28670 30788 33652 38485 40420 42065 43676 52460 54595 57340 76970 84130 109190 123281 153940 168260 218380 246562 361759 469517 493124 513193 616405 723518 939034 1026386 1232810 1447036 1808795 1878068 2052772 2347585 2465620 2565965 3617590 4695170 5131930 7235180 9390340 10263860 22067299 44134598 88269196 110336495 220672990 441345980