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441373380 = 223572178831
BaseRepresentation
bin11010010011101…
…101001011000100
31010202112002110020
4122103231023010
51400442422010
6111444055140
713636416600
oct3223551304
91122462406
10441373380
11207164398
121039944b0
13705992a6
1442894500
1528b37470
hex1a4ed2c4

441373380 has 144 divisors (see below), whose sum is σ = 1522354176. Its totient is φ = 94940160.

The previous prime is 441373351. The next prime is 441373393. The reversal of 441373380 is 83373144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45565 + ... + 54395.

It is an arithmetic number, because the mean of its divisors is an integer number (10571904).

Almost surely, 2441373380 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 441373380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761177088).

441373380 is an abundant number, since it is smaller than the sum of its proper divisors (1080980796).

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

441373380 is a wasteful number, since it uses less digits than its factorization.

441373380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 441373380 is about 21008.8881190795. Note that the first 3 decimals coincide. The cubic root of 441373380 is about 761.3810185378.

The spelling of 441373380 in words is "four hundred forty-one million, three hundred seventy-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 8831 9996 12495 16660 17662 24990 26493 35324 44155 49980 52986 61817 88310 105972 123634 132465 150127 176620 185451 247268 264930 300254 309085 370902 432719 450381 529860 600508 618170 741804 750635 865438 900762 927255 1050889 1236340 1298157 1501270 1730876 1801524 1854510 2101778 2163595 2251905 2596314 3002540 3152667 3709020 4203556 4327190 4503810 5192628 5254445 6305334 6490785 7356223 8654380 9007620 10508890 12610668 12981570 14712446 15763335 21017780 22068669 25963140 29424892 31526670 36781115 44137338 63053340 73562230 88274676 110343345 147124460 220686690 441373380