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243314016 = 253111032237
BaseRepresentation
bin11101000000010…
…10110101100000
3121221211122002020
432200022311200
5444242022031
640051021440
76013064211
oct1640126540
9557748066
10243314016
11115387470
126959a880
133b5413ba
1424459408
1516563096
hexe80ad60

243314016 has 96 divisors (see below), whose sum is σ = 703842048. Its totient is φ = 72983040.

The previous prime is 243314011. The next prime is 243314039. The reversal of 243314016 is 610413342.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243314011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107650 + ... + 109886.

It is an arithmetic number, because the mean of its divisors is an integer number (7331688).

Almost surely, 2243314016 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 243314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351921024).

243314016 is an abundant number, since it is smaller than the sum of its proper divisors (460528032).

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

243314016 is a wasteful number, since it uses less digits than its factorization.

243314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 243314016 is about 15598.5260842171. The cubic root of 243314016 is about 624.2938294041.

Adding to 243314016 its reverse (610413342), we get a palindrome (853727358).

The spelling of 243314016 in words is "two hundred forty-three million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 824 1056 1133 1236 1648 2237 2266 2472 3296 3399 4474 4532 4944 6711 6798 8948 9064 9888 13422 13596 17896 18128 24607 26844 27192 35792 36256 49214 53688 54384 71584 73821 98428 107376 108768 147642 196856 214752 230411 295284 393712 460822 590568 691233 787424 921644 1181136 1382466 1843288 2362272 2534521 2764932 3686576 5069042 5529864 7373152 7603563 10138084 11059728 15207126 20276168 22119456 30414252 40552336 60828504 81104672 121657008 243314016