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27343128 = 2331961983
BaseRepresentation
bin110100001001…
…1100100011000
31220110011201110
41220103210120
523444440003
62414020320
7451261401
oct150234430
956404643
1027343128
111448632a
1291a76a0
135884887
1438ba9a8
152601a03
hex1a13918

27343128 has 64 divisors (see below), whose sum is σ = 73209600. Its totient is φ = 8484480.

The previous prime is 27343097. The next prime is 27343153. The reversal of 27343128 is 82134372.

It is a junction number, because it is equal to n+sod(n) for n = 27343095 and 27343104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27325 + ... + 28307.

It is an arithmetic number, because the mean of its divisors is an integer number (1143900).

Almost surely, 227343128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27343128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604800).

27343128 is an abundant number, since it is smaller than the sum of its proper divisors (45866472).

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

27343128 is a wasteful number, since it uses less digits than its factorization.

27343128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 27343128 is about 5229.0656909241. The cubic root of 27343128 is about 301.2654986488.

The spelling of 27343128 in words is "twenty-seven million, three hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 488 732 983 1159 1464 1966 2318 2949 3477 3932 4636 5898 6954 7864 9272 11796 13908 18677 23592 27816 37354 56031 59963 74708 112062 119926 149416 179889 224124 239852 359778 448248 479704 719556 1139297 1439112 2278594 3417891 4557188 6835782 9114376 13671564 27343128