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242314170 = 23571637079
BaseRepresentation
bin11100111000101…
…10101110111010
3121212221211112220
432130112232322
5444013023140
640013344510
76001431210
oct1634265672
9555854486
10242314170
1111486424a
1269198136
133b281287
1424278cb0
1516416bd0
hexe716bba

242314170 has 64 divisors (see below), whose sum is σ = 668805120. Its totient is φ = 55038528.

The previous prime is 242314153. The next prime is 242314183. The reversal of 242314170 is 71413242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242314170.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30691 + ... + 37769.

It is an arithmetic number, because the mean of its divisors is an integer number (10450080).

Almost surely, 2242314170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242314170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334402560).

242314170 is an abundant number, since it is smaller than the sum of its proper divisors (426490950).

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

242314170 is a wasteful number, since it uses less digits than its factorization.

242314170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259.

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

The square root of 242314170 is about 15566.4437171757. The cubic root of 242314170 is about 623.4375221826.

The spelling of 242314170 in words is "two hundred forty-two million, three hundred fourteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1141 1630 2282 2445 3423 4890 5705 6846 7079 11410 14158 17115 21237 34230 35395 42474 49553 70790 99106 106185 148659 212370 247765 297318 495530 743295 1153877 1486590 2307754 3461631 5769385 6923262 8077139 11538770 16154278 17308155 24231417 34616310 40385695 48462834 80771390 121157085 242314170