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243013040 = 245192937149
BaseRepresentation
bin11100111110000…
…01010110110000
3121221021100012222
432133001112300
5444202404130
640040340212
76010401554
oct1637012660
9557240188
10243013040
111151a1326
1269474668
133b4673ca
14243bb864
1516503ce5
hexe7c15b0

243013040 has 160 divisors (see below), whose sum is σ = 636120000. Its totient is φ = 85929984.

The previous prime is 243013037. The next prime is 243013051. The reversal of 243013040 is 40310342.

243013040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2430130402 = 118110675220083200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630886 + ... + 1631034.

It is an arithmetic number, because the mean of its divisors is an integer number (3975750).

Almost surely, 2243013040 is an apocalyptic number.

243013040 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 243013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060000).

243013040 is an abundant number, since it is smaller than the sum of its proper divisors (393106960).

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

243013040 is a wasteful number, since it uses less digits than its factorization.

243013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 243013040 is about 15588.8755207039. The cubic root of 243013040 is about 624.0363089764.

Adding to 243013040 its reverse (40310342), we get a palindrome (283323382).

The spelling of 243013040 in words is "two hundred forty-three million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 37 38 40 58 74 76 80 95 116 145 148 149 152 185 190 232 290 296 298 304 370 380 464 551 580 592 596 703 740 745 760 1073 1102 1160 1192 1406 1480 1490 1520 2146 2204 2320 2384 2755 2812 2831 2960 2980 3515 4292 4321 4408 5365 5510 5513 5624 5662 5960 7030 8584 8642 8816 10730 11020 11026 11248 11324 11920 14060 14155 17168 17284 20387 21460 21605 22040 22052 22648 27565 28120 28310 34568 40774 42920 43210 44080 44104 45296 55130 56240 56620 69136 81548 82099 85840 86420 88208 101935 104747 110260 113240 159877 163096 164198 172840 203870 209494 220520 226480 319754 326192 328396 345680 407740 410495 418988 441040 523735 639508 656792 799385 815480 820990 837976 1047470 1279016 1313584 1598770 1630960 1641980 1675952 2094940 2558032 3037663 3197540 3283960 4189880 6075326 6395080 6567920 8379760 12150652 12790160 15188315 24301304 30376630 48602608 60753260 121506520 243013040