Search a number
-
+
243593088 = 2735311969
BaseRepresentation
bin11101000010011…
…10111110000000
3121222100210220020
432201032332000
5444324434323
640101013440
76015335634
oct1641167600
9558323806
10243593088
11115558102
12696b4280
133b60b42b
14244ccdc4
15165baae3
hexe84ef80

243593088 has 64 divisors (see below), whose sum is σ = 659307600. Its totient is φ = 79659008.

The previous prime is 243593087. The next prime is 243593101. The reversal of 243593088 is 880395342.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243593087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14368 + ... + 26336.

Almost surely, 2243593088 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 243593088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329653800).

243593088 is an abundant number, since it is smaller than the sum of its proper divisors (415714512).

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

243593088 is a wasteful number, since it uses less digits than its factorization.

243593088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12039 (or 12027 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 243593088 is about 15607.4689812282. The cubic root of 243593088 is about 624.5324187023.

The spelling of 243593088 in words is "two hundred forty-three million, five hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 11969 20352 23938 35907 47876 71814 95752 143628 191504 287256 383008 574512 634357 766016 1149024 1268714 1532032 1903071 2298048 2537428 3806142 4596096 5074856 7612284 10149712 15224568 20299424 30449136 40598848 60898272 81197696 121796544 243593088