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243213040 = 2457232821
BaseRepresentation
bin11100111111100…
…10001011110000
3121221122111120101
432133302023300
5444230304130
640044522144
76012163630
oct1637621360
9557574511
10243213040
11115318614
1269550354
133b507455
14244306c0
15165431ca
hexe7f22f0

243213040 has 120 divisors (see below), whose sum is σ = 676394208. Its totient is φ = 79664640.

The previous prime is 243213037. The next prime is 243213041. The reversal of 243213040 is 40312342.

It is a junction number, because it is equal to n+sod(n) for n = 243212999 and 243213017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243213041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295830 + ... + 296650.

Almost surely, 2243213040 is an apocalyptic number.

243213040 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 243213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338197104).

243213040 is an abundant number, since it is smaller than the sum of its proper divisors (433181168).

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

243213040 is a wasteful number, since it uses less digits than its factorization.

243213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 243213040 is about 15595.2890322687. The cubic root of 243213040 is about 624.2074562238.

Adding to 243213040 its reverse (40312342), we get a palindrome (283525382).

The spelling of 243213040 in words is "two hundred forty-three million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 529 560 644 805 821 920 1058 1288 1610 1642 1840 2116 2576 2645 3220 3284 3703 4105 4232 5290 5747 6440 6568 7406 8210 8464 10580 11494 12880 13136 14812 16420 18515 18883 21160 22988 28735 29624 32840 37030 37766 42320 45976 57470 59248 65680 74060 75532 91952 94415 114940 132181 148120 151064 188830 229880 264362 296240 302128 377660 434309 459760 528724 660905 755320 868618 1057448 1321810 1510640 1737236 2114896 2171545 2643620 3040163 3474472 4343090 5287240 6080326 6948944 8686180 10574480 12160652 15200815 17372360 24321304 30401630 34744720 48642608 60803260 121606520 243213040