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1629343728 = 243316072347
BaseRepresentation
bin110000100011101…
…1100111111110000
311012112220020102000
41201013130333300
511314102444403
6425402254000
755243123155
oct14107347760
94175806360
101629343728
117667a4071
123957b7300
131cc73b11c
1411657222c
15980987a3
hex611dcff0

1629343728 has 80 divisors (see below), whose sum is σ = 4681724160. Its totient is φ = 542545344.

The previous prime is 1629343717. The next prime is 1629343747. The reversal of 1629343728 is 8273439261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693051 + ... + 695397.

It is an arithmetic number, because the mean of its divisors is an integer number (58521552).

Almost surely, 21629343728 is an apocalyptic number.

1629343728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1629343728 is an abundant number, since it is smaller than the sum of its proper divisors (3052380432).

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

1629343728 is a wasteful number, since it uses less digits than its factorization.

1629343728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3959 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1629343728 is about 40365.1301001248. The cubic root of 1629343728 is about 1176.7139563029.

The spelling of 1629343728 in words is "one billion, six hundred twenty-nine million, three hundred forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1607 2347 3214 4694 4821 6428 7041 9388 9642 12856 14082 14463 18776 19284 21123 25712 28164 28926 37552 38568 42246 43389 56328 57852 63369 77136 84492 86778 112656 115704 126738 168984 173556 231408 253476 337968 347112 506952 694224 1013904 3771629 7543258 11314887 15086516 22629774 30173032 33944661 45259548 60346064 67889322 90519096 101833983 135778644 181038192 203667966 271557288 407335932 543114576 814671864 1629343728