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442340101 = 7216215569
BaseRepresentation
bin11010010111011…
…001001100000101
31010211100012112201
4122113121030011
51401214340401
6111520514501
713650554200
oct3227311405
91124305481
10442340101
11207764735
1210417ba31
1370847308
1442a66937
1528c78b01
hex1a5d9305

442340101 has 12 divisors (see below), whose sum is σ = 514968780. Its totient is φ = 378846720.

The previous prime is 442340089. The next prime is 442340141. The reversal of 442340101 is 101043244.

It can be written as a sum of positive squares in 2 ways, for example, as 207331201 + 235008900 = 14399^2 + 15330^2 .

It is not a de Polignac number, because 442340101 - 27 = 442339973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442340141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76645 + ... + 82213.

It is an arithmetic number, because the mean of its divisors is an integer number (42914065).

Almost surely, 2442340101 is an apocalyptic number.

It is an amenable number.

442340101 is a deficient number, since it is larger than the sum of its proper divisors (72628679).

442340101 is a wasteful number, since it uses less digits than its factorization.

442340101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 442340101 is about 21031.8829637291. The cubic root of 442340101 is about 761.9364864866.

Adding to 442340101 its reverse (101043244), we get a palindrome (543383345).

The spelling of 442340101 in words is "four hundred forty-two million, three hundred forty thousand, one hundred one".

Divisors: 1 7 49 1621 5569 11347 38983 79429 272881 9027349 63191443 442340101