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1681567344 = 243312133209
BaseRepresentation
bin110010000111010…
…1010111001110000
311100012011110202000
41210032222321300
511420440123334
6434505454000
756446041462
oct14416527160
94305143660
101681567344
11793223486
123ab1a1300
1320a4c4682
1411d488132
159c962299
hex643aae70

1681567344 has 80 divisors (see below), whose sum is σ = 4832205600. Its totient is φ = 559885824.

The previous prime is 1681567271. The next prime is 1681567361. The reversal of 1681567344 is 4437651861.

1681567344 is a `hidden beast` number, since 1 + 6 + 81 + 567 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1681567344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522412 + ... + 525620.

It is an arithmetic number, because the mean of its divisors is an integer number (60402570).

Almost surely, 21681567344 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 1681567344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416102800).

1681567344 is an abundant number, since it is smaller than the sum of its proper divisors (3150638256).

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

1681567344 is a wasteful number, since it uses less digits than its factorization.

1681567344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4427 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1681567344 is about 41006.9182455839. The cubic root of 1681567344 is about 1189.1539649478.

The spelling of 1681567344 in words is "one billion, six hundred eighty-one million, five hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1213 2426 3209 3639 4852 6418 7278 9627 9704 10917 12836 14556 19254 19408 21834 25672 28881 29112 32751 38508 43668 51344 57762 58224 65502 77016 86643 87336 115524 131004 154032 173286 174672 231048 262008 346572 462096 524016 693144 1386288 3892517 7785034 11677551 15570068 23355102 31140136 35032653 46710204 62280272 70065306 93420408 105097959 140130612 186840816 210195918 280261224 420391836 560522448 840783672 1681567344