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200304240 = 243523131277
BaseRepresentation
bin10111111000001…
…10011001110000
3111221220111202120
423330012121300
5402234213430
631513114240
74651362243
oct1374063160
9457814676
10200304240
11a30805a4
12570b8980
1332662926
141c86125a
15128b9610
hexbf06670

200304240 has 160 divisors (see below), whose sum is σ = 655243776. Its totient is φ = 50519040.

The previous prime is 200304187. The next prime is 200304241. The reversal of 200304240 is 42403002.

It is a happy number.

200304240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200304241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722982 + ... + 723258.

Almost surely, 2200304240 is an apocalyptic number.

200304240 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 200304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327621888).

200304240 is an abundant number, since it is smaller than the sum of its proper divisors (454939536).

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

200304240 is a wasteful number, since it uses less digits than its factorization.

200304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 200304240 is about 14152.8880444947. Note that the first 3 decimals coincide. The cubic root of 200304240 is about 585.0999317924.

Adding to 200304240 its reverse (42403002), we get a palindrome (242707242).

The spelling of 200304240 in words is "two hundred million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 131 138 184 230 240 262 276 277 345 368 393 460 524 552 554 655 690 786 831 920 1048 1104 1108 1310 1380 1385 1572 1662 1840 1965 2096 2216 2620 2760 2770 3013 3144 3324 3930 4155 4432 5240 5520 5540 6026 6288 6371 6648 7860 8310 9039 10480 11080 12052 12742 13296 15065 15720 16620 18078 19113 22160 24104 25484 30130 31440 31855 33240 36156 36287 38226 45195 48208 50968 60260 63710 66480 72312 72574 76452 90390 95565 101936 108861 120520 127420 144624 145148 152904 180780 181435 191130 217722 241040 254840 290296 305808 361560 362870 382260 435444 509680 544305 580592 723120 725740 764520 834601 870888 1088610 1451480 1529040 1669202 1741776 2177220 2503803 2902960 3338404 4173005 4354440 5007606 6676808 8346010 8708880 10015212 12519015 13353616 16692020 20030424 25038030 33384040 40060848 50076060 66768080 100152120 200304240