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342309168 = 243219125113
BaseRepresentation
bin10100011001110…
…011100100110000
3212212010002220100
4110121303210300
51200112343133
653544512400
711324402625
oct2431634460
9785102810
10342309168
11166251a43
129677b700
1355bc2706
143366834c
15200b9e13
hex14673930

342309168 has 60 divisors (see below), whose sum is σ = 1008418840. Its totient is φ = 108096768.

The previous prime is 342309167. The next prime is 342309169. The reversal of 342309168 is 861903243.

342309168 is a `hidden beast` number, since 342 + 309 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (342309167) and next prime (342309169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (342309167) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59821 + ... + 65292.

Almost surely, 2342309168 is an apocalyptic number.

342309168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

342309168 is an abundant number, since it is smaller than the sum of its proper divisors (666109672).

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

342309168 is a wasteful number, since it uses less digits than its factorization.

342309168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125146 (or 125137 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 342309168 is about 18501.5990660267. The cubic root of 342309168 is about 699.5297303957.

The spelling of 342309168 in words is "three hundred forty-two million, three hundred nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 125113 250226 375339 500452 750678 1000904 1126017 1501356 2001808 2252034 2377147 3002712 4504068 4754294 6005424 7131441 9008136 9508588 14262882 18016272 19017176 21394323 28525764 38034352 42788646 57051528 85577292 114103056 171154584 342309168