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243128088 = 233371131423
BaseRepresentation
bin11100111110111…
…01011100011000
3121221111012001000
432133131130120
5444220044323
640043025000
76011361150
oct1637353430
9557435030
10243128088
1111526a805
126950b160
133b4a7898
142440b760
1516527e43
hexe7dd718

243128088 has 128 divisors (see below), whose sum is σ = 779212800. Its totient is φ = 68802048.

The previous prime is 243128087. The next prime is 243128089. The reversal of 243128088 is 880821342.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (243128087) and next prime (243128089).

It is a super-2 number, since 2×2431280882 = 118222534349071488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243128087) by changing a digit.

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, 170145 + ... + 171567.

It is an arithmetic number, because the mean of its divisors is an integer number (6087600).

Almost surely, 2243128088 is an apocalyptic number.

243128088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243128088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389606400).

243128088 is an abundant number, since it is smaller than the sum of its proper divisors (536084712).

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

243128088 is a wasteful number, since it uses less digits than its factorization.

243128088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 243128088 is about 15592.5651513790. The cubic root of 243128088 is about 624.1347711860.

It can be divided in two parts, 24312 and 8088, that added together give a square (32400 = 1802).

The spelling of 243128088 in words is "two hundred forty-three million, one hundred twenty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 339 378 452 504 678 756 791 904 1017 1356 1423 1512 1582 2034 2373 2712 2846 3051 3164 4068 4269 4746 5692 6102 6328 7119 8136 8538 9492 9961 11384 12204 12807 14238 17076 18984 19922 21357 24408 25614 28476 29883 34152 38421 39844 42714 51228 56952 59766 76842 79688 85428 89649 102456 119532 153684 160799 170856 179298 239064 268947 307368 321598 358596 482397 537894 643196 717192 964794 1075788 1125593 1286392 1447191 1929588 2151576 2251186 2894382 3376779 3859176 4341573 4502372 5788764 6753558 8683146 9004744 10130337 11577528 13507116 17366292 20260674 27014232 30391011 34732584 40521348 60782022 81042696 121564044 243128088