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1688363244 = 223371421523
BaseRepresentation
bin110010010100010…
…0110000011101100
311100122221201222000
41210220212003230
511424210110434
6435311252300
756560564551
oct14450460354
94318851860
101688363244
11797045327
123b151a090
1320ba33a09
14120336a28
159d355b99
hex64a260ec

1688363244 has 96 divisors (see below), whose sum is σ = 4457940480. Its totient is φ = 552484800.

The previous prime is 1688363227. The next prime is 1688363249. The reversal of 1688363244 is 4423638861.

1688363244 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 3 + 632 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1688363244.

It is not an unprimeable number, because it can be changed into a prime (1688363249) 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 31 ways as a sum of consecutive naturals, for example, 3227967 + ... + 3228489.

It is an arithmetic number, because the mean of its divisors is an integer number (46436880).

Almost surely, 21688363244 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 1688363244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228970240).

1688363244 is an abundant number, since it is smaller than the sum of its proper divisors (2769577236).

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

1688363244 is a wasteful number, since it uses less digits than its factorization.

1688363244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 1688363244 is about 41089.6975408678. The cubic root of 1688363244 is about 1190.7537639151.

The spelling of 1688363244 in words is "one billion, six hundred eighty-eight million, three hundred sixty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 421 426 523 639 842 852 1046 1263 1278 1569 1684 1917 2092 2526 2556 3138 3789 3834 4707 5052 6276 7578 7668 9414 11367 14121 15156 18828 22734 28242 29891 37133 45468 56484 59782 74266 89673 111399 119564 148532 179346 220183 222798 269019 334197 358692 440366 445596 538038 660549 668394 807057 880732 1002591 1076076 1321098 1336788 1614114 1981647 2005182 2642196 3228228 3963294 4010364 5944941 7926588 11889882 15632993 23779764 31265986 46898979 62531972 93797958 140696937 187595916 281393874 422090811 562787748 844181622 1688363244