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242326176 = 2535397491
BaseRepresentation
bin11100111000110…
…01101010100000
3121212222110000120
432130121222200
5444013414201
640013520240
76001511211
oct1634315240
9555873016
10242326176
11114872274
12691a3080
133b286891
142427d408
151641a536
hexe719aa0

242326176 has 96 divisors (see below), whose sum is σ = 656123328. Its totient is φ = 78274560.

The previous prime is 242326153. The next prime is 242326213. The reversal of 242326176 is 671623242.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 493291 + ... + 493781.

It is an arithmetic number, because the mean of its divisors is an integer number (6834618).

Almost surely, 2242326176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242326176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328061664).

242326176 is an abundant number, since it is smaller than the sum of its proper divisors (413797152).

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

242326176 is a wasteful number, since it uses less digits than its factorization.

242326176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 242326176 is about 15566.8293496139. The cubic root of 242326176 is about 623.4478185502.

The spelling of 242326176 in words is "two hundred forty-two million, three hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 97 106 159 194 212 291 318 388 424 491 582 636 776 848 982 1164 1272 1473 1552 1696 1964 2328 2544 2946 3104 3928 4656 5088 5141 5892 7856 9312 10282 11784 15423 15712 20564 23568 26023 30846 41128 47136 47627 52046 61692 78069 82256 95254 104092 123384 142881 156138 164512 190508 208184 246768 285762 312276 381016 416368 493536 571524 624552 762032 832736 1143048 1249104 1524064 2286096 2498208 2524231 4572192 5048462 7572693 10096924 15145386 20193848 30290772 40387696 60581544 80775392 121163088 242326176