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441100080 = 2434568071
BaseRepresentation
bin11010010010101…
…010011100110000
31010202000012120000
4122102222130300
51400410200310
6111434150000
713634201031
oct3222523460
91122005500
10441100080
11206a98023
12103882300
1370501a85
1442822a88
1528ad14c0
hex1a4aa730

441100080 has 100 divisors (see below), whose sum is σ = 1532028432. Its totient is φ = 117624960.

The previous prime is 441100057. The next prime is 441100103. The reversal of 441100080 is 80001144.

It is an interprime number because it is at equal distance from previous prime (441100057) and next prime (441100103).

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

It is a zygodrome in base 9.

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 19 ways as a sum of consecutive naturals, for example, 27556 + ... + 40515.

Almost surely, 2441100080 is an apocalyptic number.

441100080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441100080 is an abundant number, since it is smaller than the sum of its proper divisors (1090928352).

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

441100080 is a wasteful number, since it uses less digits than its factorization.

441100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68096 (or 68081 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 441100080 is about 21002.3827219675. The cubic root of 441100080 is about 761.2238361267.

The spelling of 441100080 in words is "four hundred forty-one million, one hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 68071 136142 204213 272284 340355 408426 544568 612639 680710 816852 1021065 1089136 1225278 1361420 1633704 1837917 2042130 2450556 2722840 3063195 3267408 3675834 4084260 4901112 5445680 5513751 6126390 7351668 8168520 9189585 9802224 11027502 12252780 14703336 16337040 18379170 22055004 24505560 27568755 29406672 36758340 44110008 49011120 55137510 73516680 88220016 110275020 147033360 220550040 441100080