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243144040 = 235231272081
BaseRepresentation
bin11100111111000…
…01010101101000
3121221111222220211
432133201111220
5444221102130
640043230504
76011455516
oct1637412550
9557458824
10243144040
11115280797
1269518434
133b4b1c19
14244134b6
151652ca2a
hexe7e1568

243144040 has 64 divisors (see below), whose sum is σ = 575631360. Its totient is φ = 92252160.

The previous prime is 243144037. The next prime is 243144043. The reversal of 243144040 is 40441342.

It is an interprime number because it is at equal distance from previous prime (243144037) and next prime (243144043).

It is not an unprimeable number, because it can be changed into a prime (243144043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115800 + ... + 117880.

It is an arithmetic number, because the mean of its divisors is an integer number (8994240).

Almost surely, 2243144040 is an apocalyptic number.

243144040 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 243144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287815680).

243144040 is an abundant number, since it is smaller than the sum of its proper divisors (332487320).

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

243144040 is a wasteful number, since it uses less digits than its factorization.

243144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 243144040 is about 15593.0766688297. The cubic root of 243144040 is about 624.1484210282.

Adding to 243144040 its reverse (40441342), we get a palindrome (283585382).

The spelling of 243144040 in words is "two hundred forty-three million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 127 184 230 254 460 508 635 920 1016 1270 2081 2540 2921 4162 5080 5842 8324 10405 11684 14605 16648 20810 23368 29210 41620 47863 58420 83240 95726 116840 191452 239315 264287 382904 478630 528574 957260 1057148 1321435 1914520 2114296 2642870 5285740 6078601 10571480 12157202 24314404 30393005 48628808 60786010 121572020 243144040