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204314432 = 26717139193
BaseRepresentation
bin11000010110110…
…01011101000000
3112020110020201012
430023121131000
5404301030212
632135100052
75030433620
oct1413313500
9466406635
10204314432
11a536a503
1258511628
133343801a
141d1c6880
1512e0c922
hexc2d9740

204314432 has 112 divisors (see below), whose sum is σ = 496702080. Its totient is φ = 81395712.

The previous prime is 204314401. The next prime is 204314441. The reversal of 204314432 is 234413402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 204314398 and 204314407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058528 + ... + 1058720.

It is an arithmetic number, because the mean of its divisors is an integer number (4434840).

Almost surely, 2204314432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248351040).

204314432 is an abundant number, since it is smaller than the sum of its proper divisors (292387648).

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

204314432 is a wasteful number, since it uses less digits than its factorization.

204314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 204314432 is about 14293.8599405479. The cubic root of 204314432 is about 588.9788253500.

Adding to 204314432 its reverse (234413402), we get a palindrome (438727834).

The spelling of 204314432 in words is "two hundred four million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 139 193 224 238 272 278 386 448 476 544 556 772 952 973 1088 1112 1351 1544 1904 1946 2224 2363 2702 3088 3281 3808 3892 4448 4726 5404 6176 6562 7616 7784 8896 9452 10808 12352 13124 15568 16541 18904 21616 22967 26248 26827 31136 33082 37808 43232 45934 52496 53654 62272 66164 75616 86464 91868 104992 107308 132328 151232 183736 187789 209984 214616 264656 367472 375578 429232 456059 529312 734944 751156 858464 912118 1058624 1469888 1502312 1716928 1824236 3004624 3192413 3648472 6009248 6384826 7296944 12018496 12769652 14593888 25539304 29187776 51078608 102157216 204314432