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234514098 = 2327213113181
BaseRepresentation
bin11011111101001…
…10011010110010
3121100021112212100
431332212122302
5440013422343
635134241230
75545223400
oct1576463262
9540245770
10234514098
11110416a05
1266656216
133977cb50
1423208470
15158c59d3
hexdfa66b2

234514098 has 144 divisors (see below), whose sum is σ = 645719256. Its totient is φ = 60963840.

The previous prime is 234514057. The next prime is 234514123. The reversal of 234514098 is 890415432.

It can be written as a sum of positive squares in 4 ways, for example, as 22724289 + 211789809 = 4767^2 + 14553^2 .

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 71 ways as a sum of consecutive naturals, for example, 1295568 + ... + 1295748.

Almost surely, 2234514098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234514098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322859628).

234514098 is an abundant number, since it is smaller than the sum of its proper divisors (411205158).

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

234514098 is a wasteful number, since it uses less digits than its factorization.

234514098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 234514098 is about 15313.8531402126. The cubic root of 234514098 is about 616.6749660761.

The spelling of 234514098 in words is "two hundred thirty-four million, five hundred fourteen thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 113 117 126 147 181 182 226 234 273 294 339 362 441 543 546 637 678 791 819 882 1017 1086 1267 1274 1469 1582 1629 1638 1911 2034 2353 2373 2534 2938 3258 3801 3822 4407 4706 4746 5537 5733 7059 7119 7602 8814 8869 10283 11074 11403 11466 13221 14118 14238 16471 16611 17738 20453 20566 21177 22806 26442 26607 30849 32942 33222 40906 42354 49413 49833 53214 61359 61698 71981 79821 92547 98826 99666 115297 122718 143171 143962 148239 159642 184077 185094 215943 230594 265889 286342 296478 345891 368154 429513 431886 531778 647829 691782 797667 859026 1002197 1037673 1288539 1295658 1595334 1861223 2004394 2075346 2393001 2577078 3006591 3722446 4786002 5583669 6013182 9019773 11167338 13028561 16751007 18039546 26057122 33502014 39085683 78171366 117257049 234514098