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217340128 = 2521132189
BaseRepresentation
bin11001111010001…
…01100011100000
3120010222000121101
430331011203200
5421114341003
633322204144
75246234455
oct1475054340
9503860541
10217340128
11101756945
1260953654
1336048b35
1420c1782c
151413211d
hexcf458e0

217340128 has 24 divisors (see below), whose sum is σ = 429929640. Its totient is φ = 108151680.

The previous prime is 217340119. The next prime is 217340141. The reversal of 217340128 is 821043712.

It is a super-3 number, since 3×2173401283 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 217340096 and 217340105.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 9343 + ... + 22846.

It is an arithmetic number, because the mean of its divisors is an integer number (17913735).

Almost surely, 2217340128 is an apocalyptic number.

It is an amenable number.

217340128 is a deficient number, since it is larger than the sum of its proper divisors (212589512).

217340128 is a wasteful number, since it uses less digits than its factorization.

217340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32410 (or 32402 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 217340128 is about 14742.4600389487. The cubic root of 217340128 is about 601.2383018487.

The spelling of 217340128 in words is "two hundred seventeen million, three hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 211 422 844 1688 3376 6752 32189 64378 128756 257512 515024 1030048 6791879 13583758 27167516 54335032 108670064 217340128