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342136305 = 34571731229
BaseRepresentation
bin10100011001001…
…001010111110001
3212211210022210000
4110121021113301
51200041330210
653541100213
711323052640
oct2431112761
9784708700
10342136305
11166144085
12966b7669
1355b61b24
1433621357
1520083ac0
hex146495f1

342136305 has 160 divisors (see below), whose sum is σ = 769443840. Its totient is φ = 141834240.

The previous prime is 342136303. The next prime is 342136307. The reversal of 342136305 is 503631243.

It is a happy number.

342136305 is a `hidden beast` number, since 3 + 4 + 21 + 3 + 630 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (342136303) and next prime (342136307).

It is not a de Polignac number, because 342136305 - 21 = 342136303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (342136303) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1493931 + ... + 1494159.

It is an arithmetic number, because the mean of its divisors is an integer number (4809024).

Almost surely, 2342136305 is an apocalyptic number.

342136305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

342136305 is an abundant number, since it is smaller than the sum of its proper divisors (427307535).

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

342136305 is a wasteful number, since it uses less digits than its factorization.

342136305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 342136305 is about 18496.9269069216. The cubic root of 342136305 is about 699.4119585296.

Adding to 342136305 its reverse (503631243), we get a palindrome (845767548).

The spelling of 342136305 in words is "three hundred forty-two million, one hundred thirty-six thousand, three hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 31 35 45 51 63 81 85 93 105 119 135 153 155 189 217 229 255 279 315 357 405 459 465 527 567 595 651 687 765 837 945 1071 1085 1145 1377 1395 1581 1603 1785 1953 2061 2295 2511 2635 2835 3213 3255 3435 3689 3893 4185 4743 4809 5355 5859 6183 6885 7099 7905 8015 9639 9765 10305 11067 11679 12555 14229 14427 16065 17577 18445 18549 19465 21297 23715 24045 27251 29295 30915 33201 35037 35495 42687 43281 48195 49693 55335 58395 63891 71145 72135 81753 87885 92745 99603 105111 106485 120683 129843 136255 149079 166005 175185 191673 213435 216405 245259 248465 298809 315333 319455 362049 408765 447237 498015 525555 575019 603415 649215 735777 745395 844781 958365 1086147 1226295 1341711 1494045 1576665 1810245 2207331 2236185 2534343 2875095 3258441 3678885 4025133 4223905 5430735 6708555 7603029 9775323 11036655 12671715 16292205 20125665 22809087 38015145 48876615 68427261 114045435 342136305