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631331712 = 27331116607
BaseRepresentation
bin100101101000010…
…101101110000000
31121222221222022000
4211220111232000
52243110103322
6142351344000
721434142144
oct4550255600
91558858260
10631331712
112a4408950
12157522000
13a0a48a7b
145dbc1224
153a65b3ac
hex25a15b80

631331712 has 128 divisors (see below), whose sum is σ = 2032819200. Its totient is φ = 191301120.

The previous prime is 631331689. The next prime is 631331717. The reversal of 631331712 is 217133136.

631331712 is a `hidden beast` number, since 631 + 3 + 3 + 17 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631331717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29713 + ... + 46319.

It is an arithmetic number, because the mean of its divisors is an integer number (15881400).

Almost surely, 2631331712 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 631331712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016409600).

631331712 is an abundant number, since it is smaller than the sum of its proper divisors (1401487488).

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

631331712 is a wasteful number, since it uses less digits than its factorization.

631331712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16641 (or 16623 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 631331712 is about 25126.3151297599. The cubic root of 631331712 is about 857.8654980126.

Adding to 631331712 its reverse (217133136), we get a palindrome (848464848).

It can be divided in two parts, 6313 and 31712, that added together give a square (38025 = 1952).

The spelling of 631331712 in words is "six hundred thirty-one million, three hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 16607 19008 33214 38016 49821 66428 99642 132856 149463 182677 199284 265712 298926 365354 398568 448389 531424 548031 597852 730708 797136 896778 1062848 1096062 1195704 1461416 1594272 1644093 1793556 2125696 2192124 2391408 2922832 3188544 3288186 3587112 4384248 4782816 4932279 5845664 6377088 6576372 7174224 8768496 9565632 9864558 11691328 13152744 14348448 17536992 19131264 19729116 23382656 26305488 28696896 35073984 39458232 52610976 57393792 70147968 78916464 105221952 157832928 210443904 315665856 631331712