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243475020 = 2232517251317
BaseRepresentation
bin11101000001100…
…10001001001100
3121222010210221100
432200302021030
5444312200040
640054303100
76014334465
oct1640621114
9558123840
10243475020
11115487428
1269657a90
133b599779
142449bd6c
1516595b30
hexe83224c

243475020 has 144 divisors (see below), whose sum is σ = 787576608. Its totient is φ = 60672000.

The previous prime is 243475019. The next prime is 243475021. The reversal of 243475020 is 20574342.

It is an interprime number because it is at equal distance from previous prime (243475019) and next prime (243475021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243475021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767902 + ... + 768218.

It is an arithmetic number, because the mean of its divisors is an integer number (5469282).

Almost surely, 2243475020 is an apocalyptic number.

243475020 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 243475020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393788304).

243475020 is an abundant number, since it is smaller than the sum of its proper divisors (544101588).

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

243475020 is a wasteful number, since it uses less digits than its factorization.

243475020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 243475020 is about 15603.6861029694. The cubic root of 243475020 is about 624.4315001161.

The spelling of 243475020 in words is "two hundred forty-three million, four hundred seventy-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 251 255 306 317 340 502 510 612 634 753 765 951 1004 1020 1255 1268 1506 1530 1585 1902 2259 2510 2853 3012 3060 3170 3765 3804 4267 4518 4755 5020 5389 5706 6340 7530 8534 9036 9510 10778 11295 11412 12801 14265 15060 16167 17068 19020 21335 21556 22590 25602 26945 28530 32334 38403 42670 45180 48501 51204 53890 57060 64005 64668 76806 79567 80835 85340 97002 107780 128010 153612 159134 161670 192015 194004 238701 242505 256020 318268 323340 384030 397835 477402 485010 716103 768060 795670 954804 970020 1193505 1352639 1432206 1591340 2387010 2705278 2864412 3580515 4057917 4774020 5410556 6763195 7161030 8115834 12173751 13526390 14322060 16231668 20289585 24347502 27052780 40579170 48695004 60868755 81158340 121737510 243475020