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1629385344 = 27321414397
BaseRepresentation
bin110000100011110…
…0111001010000000
311012112222100111100
41201013213022000
511314110312334
6425403214400
755243355406
oct14107471200
94175870440
101629385344
11766822364
12395817400
131cc754052
14116583476
15980a5c99
hex611e7280

1629385344 has 48 divisors (see below), whose sum is σ = 4688729370. Its totient is φ = 543128064.

The previous prime is 1629385259. The next prime is 1629385357. The reversal of 1629385344 is 4435839261.

1629385344 is a `hidden beast` number, since 16 + 293 + 8 + 5 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 850305600 + 779079744 = 29160^2 + 27912^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1629385344.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 706047 + ... + 708350.

Almost surely, 21629385344 is an apocalyptic number.

It is an amenable number.

1629385344 is an abundant number, since it is smaller than the sum of its proper divisors (3059344026).

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

1629385344 is a wasteful number, since it uses less digits than its factorization.

1629385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414417 (or 1414402 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1629385344 is about 40365.6455912698. The cubic root of 1629385344 is about 1176.7239745923.

The spelling of 1629385344 in words is "one billion, six hundred twenty-nine million, three hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1414397 2828794 4243191 5657588 8486382 11315176 12729573 16972764 22630352 25459146 33945528 45260704 50918292 67891056 90521408 101836584 135782112 181042816 203673168 271564224 407346336 543128448 814692672 1629385344