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629334684 = 223411296089
BaseRepresentation
bin100101100000101…
…110001010011100
31121212012111220000
4211200232022130
52242102202214
6142240454300
721411153666
oct4540561234
91555174800
10629334684
112a3274510
1215691a390
13a04c9ab4
145d821536
153a3b4809
hex2582e29c

629334684 has 120 divisors (see below), whose sum is σ = 1856962800. Its totient is φ = 184101120.

The previous prime is 629334683. The next prime is 629334691. The reversal of 629334684 is 486433926.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629334683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100312 + ... + 106400.

It is an arithmetic number, because the mean of its divisors is an integer number (15474690).

Almost surely, 2629334684 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 629334684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928481400).

629334684 is an abundant number, since it is smaller than the sum of its proper divisors (1227628116).

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

629334684 is a wasteful number, since it uses less digits than its factorization.

629334684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6134 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 629334684 is about 25086.5438831259. The cubic root of 629334684 is about 856.9600094258.

The spelling of 629334684 in words is "six hundred twenty-nine million, three hundred thirty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 297 319 324 348 396 522 594 638 783 891 957 1044 1188 1276 1566 1782 1914 2349 2871 3132 3564 3828 4698 5742 6089 8613 9396 11484 12178 17226 18267 24356 25839 34452 36534 51678 54801 66979 73068 103356 109602 133958 164403 176581 200937 219204 267916 328806 353162 401874 493209 529743 602811 657612 706324 803748 986418 1059486 1205622 1589229 1808433 1942391 1972836 2118972 2411244 3178458 3616866 3884782 4767687 5425299 5827173 6356916 7233732 7769564 9535374 10850598 11654346 14303061 17481519 19070748 21701196 23308692 28606122 34963038 52444557 57212244 69926076 104889114 157333671 209778228 314667342 629334684