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204413340 = 223547173419
BaseRepresentation
bin11000010111100…
…01100110011100
3112020122021101110
430023301212130
5404312211330
632141142020
75031325155
oct1413614634
9466567343
10204413340
11a542784a
125855a910
1333471051
141d21092c
1512e2bdb0
hexc2f199c

204413340 has 96 divisors (see below), whose sum is σ = 589317120. Its totient is φ = 52915456.

The previous prime is 204413333. The next prime is 204413371. The reversal of 204413340 is 43314402.

204413340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487651 + ... + 488069.

It is an arithmetic number, because the mean of its divisors is an integer number (6138720).

Almost surely, 2204413340 is an apocalyptic number.

204413340 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 204413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294658560).

204413340 is an abundant number, since it is smaller than the sum of its proper divisors (384903780).

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

204413340 is a wasteful number, since it uses less digits than its factorization.

204413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 204413340 is about 14297.3193291610. The cubic root of 204413340 is about 589.0738509751.

Adding to 204413340 its reverse (43314402), we get a palindrome (247727742).

The spelling of 204413340 in words is "two hundred four million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 173 188 235 282 346 419 470 519 564 692 705 838 865 940 1038 1257 1410 1676 1730 2076 2095 2514 2595 2820 3460 4190 5028 5190 6285 8131 8380 10380 12570 16262 19693 24393 25140 32524 39386 40655 48786 59079 72487 78772 81310 97572 98465 118158 121965 144974 162620 196930 217461 236316 243930 289948 295395 362435 393860 434922 487860 590790 724870 869844 1087305 1181580 1449740 2174610 3406889 4349220 6813778 10220667 13627556 17034445 20441334 34068890 40882668 51103335 68137780 102206670 204413340