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441314320 = 2458366463
BaseRepresentation
bin11010010011011…
…110110000010000
31010202102002102211
4122103132300100
51400434024240
6111442521504
713636052446
oct3223366020
91122362384
10441314320
11207123a87
12103966294
1370578445
144287ab96
1528b24bea
hex1a4dec10

441314320 has 40 divisors (see below), whose sum is σ = 1038433536. Its totient is φ = 174396288.

The previous prime is 441314267. The next prime is 441314329. The reversal of 441314320 is 23413144.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 441314291 and 441314300.

It is not an unprimeable number, because it can be changed into a prime (441314329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26592 + ... + 39871.

Almost surely, 2441314320 is an apocalyptic number.

441314320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441314320 is an abundant number, since it is smaller than the sum of its proper divisors (597119216).

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

441314320 is a wasteful number, since it uses less digits than its factorization.

441314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66559 (or 66553 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 441314320 is about 21007.4824764892. The cubic root of 441314320 is about 761.3470569905.

Adding to 441314320 its reverse (23413144), we get a palindrome (464727464).

The spelling of 441314320 in words is "four hundred forty-one million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 66463 132926 265852 332315 531704 664630 1063408 1329260 2658520 5317040 5516429 11032858 22065716 27582145 44131432 55164290 88262864 110328580 220657160 441314320