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243212040 = 233251016689
BaseRepresentation
bin11100111111100…
…01111100001000
3121221122110012100
432133301330020
5444230241130
640044513400
76012161001
oct1637617410
9557573170
10243212040
11115317895
126954b860
133b506b66
14244301a8
1516542c60
hexe7f1f08

243212040 has 96 divisors (see below), whose sum is σ = 798384600. Its totient is φ = 64204800.

The previous prime is 243212023. The next prime is 243212083. The reversal of 243212040 is 40212342.

It can be written as a sum of positive squares in 4 ways, for example, as 243172836 + 39204 = 15594^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33016 + ... + 39704.

Almost surely, 2243212040 is an apocalyptic number.

243212040 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 243212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399192300).

243212040 is an abundant number, since it is smaller than the sum of its proper divisors (555172560).

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

243212040 is a wasteful number, since it uses less digits than its factorization.

243212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 243212040 is about 15595.2569712717. The cubic root of 243212040 is about 624.2066007210.

Adding to 243212040 its reverse (40212342), we get a palindrome (283424382).

The spelling of 243212040 in words is "two hundred forty-three million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 6689 7272 9090 12120 13378 18180 20067 26756 33445 36360 40134 53512 60201 66890 80268 100335 120402 133780 160536 200670 240804 267560 301005 401340 481608 602010 675589 802680 1204020 1351178 2026767 2408040 2702356 3377945 4053534 5404712 6080301 6755890 8107068 10133835 12160602 13511780 16214136 20267670 24321204 27023560 30401505 40535340 48642408 60803010 81070680 121606020 243212040