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1681368 = 2331317317
BaseRepresentation
bin110011010011111011000
310011102101220
412122133120
5412300433
6100012040
720201643
oct6323730
93142356
101681368
11a49267
12691020
1346b3c0
1431aa5a
152332b3
hex19a7d8

1681368 has 64 divisors (see below), whose sum is σ = 4808160. Its totient is φ = 485376.

The previous prime is 1681363. The next prime is 1681397. The reversal of 1681368 is 8631861.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146 + ... + 5462.

21681368 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 1681368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404080).

1681368 is an abundant number, since it is smaller than the sum of its proper divisors (3126792).

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

1681368 is a wasteful number, since it uses less digits than its factorization.

1681368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1681368 is about 1296.6757497540. The cubic root of 1681368 is about 118.9106973059.

The spelling of 1681368 in words is "one million, six hundred eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 317 408 442 634 663 884 951 1268 1326 1768 1902 2536 2652 3804 4121 5304 5389 7608 8242 10778 12363 16167 16484 21556 24726 32334 32968 43112 49452 64668 70057 98904 129336 140114 210171 280228 420342 560456 840684 1681368