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442340100 = 223252491489
BaseRepresentation
bin11010010111011…
…001001100000100
31010211100012112200
4122113121030010
51401214340400
6111520514500
713650554166
oct3227311404
91124305480
10442340100
11207764734
1210417ba30
1370847307
1442a66936
1528c78b00
hex1a5d9304

442340100 has 54 divisors (see below), whose sum is σ = 1386493290. Its totient is φ = 117957120.

The previous prime is 442340089. The next prime is 442340141. The reversal of 442340100 is 1043244.

It can be written as a sum of positive squares in 3 ways, for example, as 106131204 + 336208896 = 10302^2 + 18336^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 244845 + ... + 246644.

Almost surely, 2442340100 is an apocalyptic number.

It is an amenable number.

442340100 is an abundant number, since it is smaller than the sum of its proper divisors (944153190).

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

442340100 is a wasteful number, since it uses less digits than its factorization.

442340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491509 (or 491499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 442340100 is about 21031.8829399557. The cubic root of 442340100 is about 761.9364859124.

Adding to 442340100 its reverse (1043244), we get a palindrome (443383344).

The spelling of 442340100 in words is "four hundred forty-two million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 491489 982978 1474467 1965956 2457445 2948934 4423401 4914890 5897868 7372335 8846802 9829780 12287225 14744670 17693604 22117005 24574450 29489340 36861675 44234010 49148900 73723350 88468020 110585025 147446700 221170050 442340100