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243234534000 = 24353113358753
BaseRepresentation
bin1110001010000111101…
…0000111001001110000
3212020211102200120111110
43202201322013021300
512441121020042000
6303423532113320
723400402266043
oct3424172071160
9766742616443
10243234534000
119417860a537
123b182905840
1319c24541b83
14bab60a6c5a
1564d8dcb850
hex38a1e87270

243234534000 has 160 divisors (see below), whose sum is σ = 791130060864. Its totient is φ = 64288358400.

The previous prime is 243234533957. The next prime is 243234534007. The reversal of 243234534000 is 435432342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243234534007) 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, 498624 + ... + 857376.

Almost surely, 2243234534000 is an apocalyptic number.

243234534000 is a gapful number since it is divisible by the number (20) 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 243234534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395565030432).

243234534000 is an abundant number, since it is smaller than the sum of its proper divisors (547895526864).

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

243234534000 is a wasteful number, since it uses less digits than its factorization.

243234534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358892 (or 358876 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 243234534000 its reverse (435432342), we get a palindrome (243669966342).

The spelling of 243234534000 in words is "two hundred forty-three billion, two hundred thirty-four million, five hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 125 150 200 226 240 250 300 339 375 400 452 500 565 600 678 750 904 1000 1130 1200 1356 1500 1695 1808 2000 2260 2712 2825 3000 3390 4520 5424 5650 6000 6780 8475 9040 11300 13560 14125 16950 22600 27120 28250 33900 42375 45200 56500 67800 84750 113000 135600 169500 226000 339000 358753 678000 717506 1076259 1435012 1793765 2152518 2870024 3587530 4305036 5381295 5740048 7175060 8610072 8968825 10762590 14350120 17220144 17937650 21525180 26906475 28700240 35875300 40539089 43050360 44844125 53812950 71750600 81078178 86100720 89688250 107625900 121617267 134532375 143501200 162156356 179376500 202695445 215251800 243234534 269064750 324312712 358753000 405390890 430503600 486469068 538129500 608086335 648625424 717506000 810781780 972938136 1013477225 1076259000 1216172670 1621563560 1945876272 2026954450 2152518000 2432345340 3040431675 3243127120 4053908900 4864690680 5067386125 6080863350 8107817800 9729381360 10134772250 12161726700 15202158375 16215635600 20269544500 24323453400 30404316750 40539089000 48646906800 60808633500 81078178000 121617267000 243234534000