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243055134 = 23374115683
BaseRepresentation
bin11100111110010…
…11101000011110
3121221100110222000
432133023220132
5444210231014
640041303130
76010635360
oct1637135036
9557313860
10243055134
1111521aa13
1269494aa6
133b48060a
14243ccd30
1516511509
hexe7cba1e

243055134 has 64 divisors (see below), whose sum is σ = 632378880. Its totient is φ = 67746240.

The previous prime is 243055079. The next prime is 243055147. The reversal of 243055134 is 431550342.

243055134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 243055098 and 243055107.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7657 + ... + 23339.

It is an arithmetic number, because the mean of its divisors is an integer number (9880920).

Almost surely, 2243055134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243055134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316189440).

243055134 is an abundant number, since it is smaller than the sum of its proper divisors (389323746).

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

243055134 is a wasteful number, since it uses less digits than its factorization.

243055134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15742 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 243055134 is about 15590.2255916969. The cubic root of 243055134 is about 624.0723381374.

The spelling of 243055134 in words is "two hundred forty-three million, fifty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 246 287 369 378 574 738 861 1107 1722 2214 2583 5166 7749 15498 15683 31366 47049 94098 109781 141147 219562 282294 329343 423441 643003 658686 846882 988029 1286006 1929009 1976058 2964087 3858018 4501021 5787027 5928174 9002042 11574054 13503063 17361081 27006126 34722162 40509189 81018378 121527567 243055134