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204243440 = 24517791901
BaseRepresentation
bin11000010110010…
…00000111110000
3112020022122022212
430023020013300
5404241242230
632133351252
75030016632
oct1413100760
9466278285
10204243440
11a5321135
1258498528
133341190b
141d1a8a52
1512de6895
hexc2c81f0

204243440 has 80 divisors (see below), whose sum is σ = 509431680. Its totient is φ = 75878400.

The previous prime is 204243439. The next prime is 204243443. The reversal of 204243440 is 44342402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204243443) 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 15 ways as a sum of consecutive naturals, for example, 106490 + ... + 108390.

It is an arithmetic number, because the mean of its divisors is an integer number (6367896).

Almost surely, 2204243440 is an apocalyptic number.

204243440 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 204243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254715840).

204243440 is an abundant number, since it is smaller than the sum of its proper divisors (305188240).

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

204243440 is a wasteful number, since it uses less digits than its factorization.

204243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 204243440 is about 14291.3764207651. The cubic root of 204243440 is about 588.9106010480.

Adding to 204243440 its reverse (44342402), we get a palindrome (248585842).

The spelling of 204243440 in words is "two hundred four million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 136 158 170 272 316 340 395 632 680 790 1264 1343 1360 1580 1901 2686 3160 3802 5372 6320 6715 7604 9505 10744 13430 15208 19010 21488 26860 30416 32317 38020 53720 64634 76040 107440 129268 150179 152080 161585 258536 300358 323170 517072 600716 646340 750895 1201432 1292680 1501790 2402864 2553043 2585360 3003580 5106086 6007160 10212172 12014320 12765215 20424344 25530430 40848688 51060860 102121720 204243440