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634143312 = 243211616563
BaseRepresentation
bin100101110011000…
…100001001010000
31122012020211002100
4211303010021100
52244320041222
6142531520400
721500062215
oct4563041120
91565224070
10634143312
112a5a59290
12158459100
13a14c173a
1460313b0c
153aa144ac
hex25cc4250

634143312 has 120 divisors (see below), whose sum is σ = 1968097248. Its totient is φ = 188985600.

The previous prime is 634143283. The next prime is 634143329. The reversal of 634143312 is 213341436.

634143312 is a `hidden beast` number, since 6 + 341 + 4 + 3 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93343 + ... + 99905.

Almost surely, 2634143312 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 634143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984048624).

634143312 is an abundant number, since it is smaller than the sum of its proper divisors (1333953936).

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

634143312 is a wasteful number, since it uses less digits than its factorization.

634143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6649 (or 6640 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 634143312 is about 25182.2022865356. The cubic root of 634143312 is about 859.1370973373.

Adding to 634143312 its reverse (213341436), we get a palindrome (847484748).

The spelling of 634143312 in words is "six hundred thirty-four million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 549 671 732 792 976 1098 1342 1464 1584 2013 2196 2684 2928 4026 4392 5368 6039 6563 8052 8784 10736 12078 13126 16104 19689 24156 26252 32208 39378 48312 52504 59067 72193 78756 96624 105008 118134 144386 157512 216579 236268 288772 315024 400343 433158 472536 577544 649737 800686 866316 945072 1155088 1201029 1299474 1601372 1732632 2402058 2598948 3202744 3465264 3603087 4403773 4804116 5197896 6405488 7206174 8807546 9608232 10395792 13211319 14412348 17615092 19216464 26422638 28824696 35230184 39633957 52845276 57649392 70460368 79267914 105690552 158535828 211381104 317071656 634143312