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441070440 = 233517216211
BaseRepresentation
bin11010010010100…
…011001101101000
31010201221200220020
4122102203031220
51400403223230
6111433400440
713634015436
oct3222431550
91121850806
10441070440
11206a77828
12103869120
13704c1435
1442815d56
1528ac7810
hex1a4a3368

441070440 has 64 divisors (see below), whose sum is σ = 1401053760. Its totient is φ = 110699520.

The previous prime is 441070439. The next prime is 441070477. The reversal of 441070440 is 44070144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 441070440.

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 15 ways as a sum of consecutive naturals, for example, 106066 + ... + 110145.

It is an arithmetic number, because the mean of its divisors is an integer number (21891465).

Almost surely, 2441070440 is an apocalyptic number.

441070440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441070440 is an abundant number, since it is smaller than the sum of its proper divisors (959983320).

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

441070440 is a wasteful number, since it uses less digits than its factorization.

441070440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216242 (or 216238 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 441070440 is about 21001.6770758909. The cubic root of 441070440 is about 761.2067854384.

The spelling of 441070440 in words is "four hundred forty-one million, seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 216211 432422 648633 864844 1081055 1297266 1729688 2162110 2594532 3243165 3675587 4324220 5189064 6486330 7351174 8648440 11026761 12972660 14702348 18377935 22053522 25945320 29404696 36755870 44107044 55133805 73511740 88214088 110267610 147023480 220535220 441070440