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200310312 = 233192371269
BaseRepresentation
bin10111111000001…
…11111000101000
3111221220211002110
423330013320220
5402234412222
631513202320
74651416036
oct1374077050
9457824073
10200310312
11a3085114
12571003a0
1332665617
141c863556
15128bb30c
hexbf07e28

200310312 has 128 divisors (see below), whose sum is σ = 559872000. Its totient is φ = 59431680.

The previous prime is 200310311. The next prime is 200310317. The reversal of 200310312 is 213013002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200310311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744514 + ... + 744782.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2200310312 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 200310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279936000).

200310312 is an abundant number, since it is smaller than the sum of its proper divisors (359561688).

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

200310312 is a wasteful number, since it uses less digits than its factorization.

200310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 200310312 is about 14153.1025573900. The cubic root of 200310312 is about 585.1058439503.

Adding to 200310312 its reverse (213013002), we get a palindrome (413323314).

The spelling of 200310312 in words is "two hundred million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 71 76 92 114 138 142 152 184 213 228 269 276 284 426 437 456 538 552 568 807 852 874 1076 1311 1349 1614 1633 1704 1748 2152 2622 2698 3228 3266 3496 4047 4899 5111 5244 5396 6187 6456 6532 8094 9798 10222 10488 10792 12374 13064 15333 16188 18561 19099 19596 20444 24748 30666 31027 32376 37122 38198 39192 40888 49496 57297 61332 62054 74244 76396 93081 114594 117553 122664 124108 148488 152792 186162 229188 235106 248216 352659 362881 372324 439277 458376 470212 705318 725762 744648 878554 940424 1088643 1317831 1410636 1451524 1757108 2177286 2635662 2821272 2903048 3514216 4354572 5271324 8346263 8709144 10542648 16692526 25038789 33385052 50077578 66770104 100155156 200310312