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242371104 = 2534753717
BaseRepresentation
bin11100111001001…
…00101000100000
3121220001201122120
432130210220200
5444021333404
640014504240
76002056203
oct1634445040
9556051576
10242371104
111148a2aa8
1269205080
133b2a1171
142429193a
15164289d9
hexe724a20

242371104 has 48 divisors (see below), whose sum is σ = 649772928. Its totient is φ = 79069952.

The previous prime is 242371099. The next prime is 242371121. The reversal of 242371104 is 401173242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22347 + ... + 31370.

It is an arithmetic number, because the mean of its divisors is an integer number (13536936).

Almost surely, 2242371104 is an apocalyptic number.

242371104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242371104 is an abundant number, since it is smaller than the sum of its proper divisors (407401824).

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

242371104 is a wasteful number, since it uses less digits than its factorization.

242371104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53777 (or 53769 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 242371104 is about 15568.2723511634. The cubic root of 242371104 is about 623.4863458679.

The spelling of 242371104 in words is "two hundred forty-two million, three hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 53717 107434 161151 214868 322302 429736 644604 859472 1289208 1718944 2524699 2578416 5049398 5156832 7574097 10098796 15148194 20197592 30296388 40395184 60592776 80790368 121185552 242371104