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206343312 = 2437383151
BaseRepresentation
bin11000100110010…
…00110010010000
3112101021022210220
430103020302100
5410310441222
632250353040
75053614000
oct1423106220
9471238726
10206343312
11a652586a
125912b780
1333998646
141d594000
15131adb5c
hexc4c8c90

206343312 has 160 divisors (see below), whose sum is σ = 633292800. Its totient is φ = 57859200.

The previous prime is 206343307. The next prime is 206343341. The reversal of 206343312 is 213343602.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1366437 + ... + 1366587.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2206343312 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 206343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316646400).

206343312 is an abundant number, since it is smaller than the sum of its proper divisors (426949488).

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

206343312 is a wasteful number, since it uses less digits than its factorization.

206343312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 206343312 is about 14364.6549558282. The cubic root of 206343312 is about 590.9219636945.

Adding to 206343312 its reverse (213343602), we get a palindrome (419686914).

The spelling of 206343312 in words is "two hundred six million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 83 84 98 112 147 151 166 168 196 249 294 302 332 336 343 392 453 498 581 588 604 664 686 784 906 996 1029 1057 1162 1176 1208 1328 1372 1743 1812 1992 2058 2114 2324 2352 2416 2744 3171 3486 3624 3984 4067 4116 4228 4648 5488 6342 6972 7248 7399 8134 8232 8456 9296 12201 12533 12684 13944 14798 16268 16464 16912 22197 24402 25066 25368 27888 28469 29596 32536 37599 44394 48804 50132 50736 51793 56938 59192 65072 75198 85407 87731 88788 97608 100264 103586 113876 118384 150396 155379 170814 175462 177576 195216 200528 207172 227752 263193 300792 310758 341628 350924 355152 414344 455504 526386 601584 614117 621516 683256 701848 828688 1052772 1228234 1243032 1366512 1403696 1842351 2105544 2456468 2486064 3684702 4211088 4298819 4912936 7369404 8597638 9825872 12896457 14738808 17195276 25792914 29477616 34390552 51585828 68781104 103171656 206343312