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243000054 = 233113131307
BaseRepresentation
bin11100111101111…
…10001011110110
3121221020200102000
432132332023312
5444202000204
640040200130
76010315653
oct1636761366
9557220360
10243000054
111151925a0
1269469046
133b46151b
14243b6c2a
1516500039
hexe7be2f6

243000054 has 64 divisors (see below), whose sum is σ = 591425280. Its totient is φ = 73344960.

The previous prime is 243000029. The next prime is 243000067. The reversal of 243000054 is 450000342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185269 + ... + 186575.

It is an arithmetic number, because the mean of its divisors is an integer number (9241020).

Almost surely, 2243000054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243000054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295712640).

243000054 is an abundant number, since it is smaller than the sum of its proper divisors (348425226).

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

243000054 is a wasteful number, since it uses less digits than its factorization.

243000054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 243000054 is about 15588.4590001706. The cubic root of 243000054 is about 624.0251931397.

Adding to 243000054 its reverse (450000342), we get a palindrome (693000396).

The spelling of 243000054 in words is "two hundred forty-three million, fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 313 594 626 939 1307 1878 2614 2817 3443 3921 5634 6886 7842 8451 10329 11763 14377 16902 20658 23526 28754 30987 35289 43131 61974 70578 86262 92961 129393 185922 258786 388179 409091 776358 818182 1227273 2454546 3681819 4500001 7363638 9000002 11045457 13500003 22090914 27000006 40500009 81000018 121500027 243000054