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204343920 = 243251125801
BaseRepresentation
bin11000010111000…
…00101001110000
3112020111202011100
430023200221300
5404303001140
632135444400
75030615604
oct1413405160
9466452140
10204343920
11a538a680
1258526700
1333448581
141d1d3504
1512e16530
hexc2e0a70

204343920 has 120 divisors (see below), whose sum is σ = 748670832. Its totient is φ = 49536000.

The previous prime is 204343913. The next prime is 204343949. The reversal of 204343920 is 29343402.

It is a happy number.

204343920 is a `hidden beast` number, since 204 + 3 + 439 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4981 + ... + 20820.

Almost surely, 2204343920 is an apocalyptic number.

204343920 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 204343920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374335416).

204343920 is an abundant number, since it is smaller than the sum of its proper divisors (544326912).

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

204343920 is a wasteful number, since it uses less digits than its factorization.

204343920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25831 (or 25822 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 204343920 is about 14294.8913951803. The cubic root of 204343920 is about 589.0071590837.

The spelling of 204343920 in words is "two hundred four million, three hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 25801 51602 77403 103204 129005 154806 206408 232209 258010 283811 309612 387015 412816 464418 516020 567622 619224 774030 851433 928836 1032040 1135244 1161045 1238448 1419055 1548060 1702866 1857672 2064080 2270488 2322090 2554299 2838110 3096120 3405732 3715344 4257165 4540976 4644180 5108598 5676220 6192240 6811464 8514330 9288360 10217196 11352440 12771495 13622928 17028660 18576720 20434392 22704880 25542990 34057320 40868784 51085980 68114640 102171960 204343920