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243974640 = 243571311171
BaseRepresentation
bin11101000101011…
…00000111110000
3122000002012021210
432202230013300
5444424142030
640113120120
76021515220
oct1642540760
9560065253
10243974640
11115798838
1269859040
133b712cc0
142458c080
1516643bb0
hexe8ac1f0

243974640 has 160 divisors (see below), whose sum is σ = 930940416. Its totient is φ = 51471360.

The previous prime is 243974623. The next prime is 243974677. The reversal of 243974640 is 46479342.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16255 + ... + 27425.

Almost surely, 2243974640 is an apocalyptic number.

243974640 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 243974640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465470208).

243974640 is an abundant number, since it is smaller than the sum of its proper divisors (686965776).

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

243974640 is a wasteful number, since it uses less digits than its factorization.

243974640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 243974640 is about 15619.6875769011. The cubic root of 243974640 is about 624.8583273553.

The spelling of 243974640 in words is "two hundred forty-three million, nine hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 11171 21840 22342 33513 44684 55855 67026 78197 89368 111710 134052 145223 156394 167565 178736 223420 234591 268104 290446 312788 335130 390985 435669 446840 469182 536208 580892 625576 670260 726115 781970 871338 893680 938364 1016561 1161784 1172955 1251152 1340520 1452230 1563940 1742676 1876728 2033122 2178345 2323568 2345910 2681040 2904460 3049683 3127880 3485352 3753456 4066244 4356690 4691820 5082805 5808920 6099366 6255760 6970704 8132488 8713380 9383640 10165610 11617840 12198732 15248415 16264976 17426760 18767280 20331220 24397464 30496830 34853520 40662440 48794928 60993660 81324880 121987320 243974640