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442105320 = 23353684211
BaseRepresentation
bin11010010110011…
…111110111101000
31010210220021111010
4122112133313220
51401134332240
6111511503520
713645555536
oct3226376750
91123807433
10442105320
112076142a8
12104087ba0
13707944a7
1442a05156
1528c2e280
hex1a59fde8

442105320 has 32 divisors (see below), whose sum is σ = 1326316320. Its totient is φ = 117894720.

The previous prime is 442105309. The next prime is 442105327. The reversal of 442105320 is 23501244.

It is a super-2 number, since 2×4421053202 = 390914227944604800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442105327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841986 + ... + 1842225.

It is an arithmetic number, because the mean of its divisors is an integer number (41447385).

Almost surely, 2442105320 is an apocalyptic number.

442105320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442105320 is an abundant number, since it is smaller than the sum of its proper divisors (884211000).

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

442105320 is a wasteful number, since it uses less digits than its factorization.

442105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684225 (or 3684221 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 442105320 is about 21026.3006732045. The cubic root of 442105320 is about 761.8016582035.

Adding to 442105320 its reverse (23501244), we get a palindrome (465606564).

The spelling of 442105320 in words is "four hundred forty-two million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3684211 7368422 11052633 14736844 18421055 22105266 29473688 36842110 44210532 55263165 73684220 88421064 110526330 147368440 221052660 442105320