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204243840 = 2732559601
BaseRepresentation
bin11000010110010…
…00001110000000
3112020022122212200
430023020032000
5404241300330
632133353200
75030021043
oct1413101600
9466278780
10204243840
11a5321469
1258498800
1333411b58
141d1a8c5a
1512de6a60
hexc2c8380

204243840 has 192 divisors, whose sum is σ = 718426800. Its totient is φ = 53452800.

The previous prime is 204243829. The next prime is 204243859. The reversal of 204243840 is 48342402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339540 + ... + 340140.

Almost surely, 2204243840 is an apocalyptic number.

204243840 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 204243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359213400).

204243840 is an abundant number, since it is smaller than the sum of its proper divisors (514182960).

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

204243840 is a wasteful number, since it uses less digits than its factorization.

204243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 204243840 is about 14291.3904152115. The cubic root of 204243840 is about 588.9109854979.

The spelling of 204243840 in words is "two hundred four million, two hundred forty-three thousand, eight hundred forty".