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242379441 = 32531373709
BaseRepresentation
bin11100111001001…
…10101010110001
3121220002011002100
432130212222301
5444022120231
640015011013
76002122413
oct1634465261
9556064070
10242379441
111148a9297
1269209a69
133b2a4bb5
14242949b3
151642b1e6
hexe726ab1

242379441 has 24 divisors (see below), whose sum is σ = 359409960. Its totient is φ = 157337856.

The previous prime is 242379427. The next prime is 242379457. The reversal of 242379441 is 144973242.

242379441 is a `hidden beast` number, since 242 + 379 + 4 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41873841 + 200505600 = 6471^2 + 14160^2 .

It is not a de Polignac number, because 242379441 - 26 = 242379377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242379396 and 242379405.

It is not an unprimeable number, because it can be changed into a prime (242379461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63495 + ... + 67203.

It is an arithmetic number, because the mean of its divisors is an integer number (14975415).

Almost surely, 2242379441 is an apocalyptic number.

It is an amenable number.

242379441 is a deficient number, since it is larger than the sum of its proper divisors (117030519).

242379441 is a wasteful number, since it uses less digits than its factorization.

242379441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3902 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 242379441 is about 15568.5401049681. The cubic root of 242379441 is about 623.4934946107.

The spelling of 242379441 in words is "two hundred forty-two million, three hundred seventy-nine thousand, four hundred forty-one".

Divisors: 1 3 9 53 137 159 411 477 1233 3709 7261 11127 21783 33381 65349 196577 508133 589731 1524399 1769193 4573197 26931049 80793147 242379441