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1684609936 = 243123312
BaseRepresentation
bin110010001101001…
…0001101110010000
311100101220001101121
41210122101232100
511422230004221
6435055012024
756513643142
oct14432215620
94311801347
101684609936
11794a11419
123b020a014
1320b01b519
1411da3ac92
159cd63a41
hex64691b90

1684609936 has 45 divisors (see below), whose sum is σ = 3382836219. Its totient is φ = 812671200.

The previous prime is 1684609931. The next prime is 1684609973. The reversal of 1684609936 is 6399064861.

The square root of 1684609936 is 41044.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (1684609931) 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 8 ways as a sum of consecutive naturals, for example, 5089291 + ... + 5089621.

Almost surely, 21684609936 is an apocalyptic number.

1684609936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1684609936 is the 41044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684609936

1684609936 is an abundant number, since it is smaller than the sum of its proper divisors (1698226283).

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

1684609936 is an frugal number, since it uses more digits than its factorization.

1684609936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The cubic root of 1684609936 is about 1189.8707427339.

The spelling of 1684609936 in words is "one billion, six hundred eighty-four million, six hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 124 248 331 496 662 961 1324 1922 2648 3844 5296 7688 10261 15376 20522 41044 82088 109561 164176 219122 318091 438244 636182 876488 1272364 1752976 2544728 3396391 5089456 6792782 13585564 27171128 54342256 105288121 210576242 421152484 842304968 1684609936