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682727344 = 241317533643
BaseRepresentation
bin101000101100011…
…001011110110000
31202120200010211221
4220230121132300
52344234233334
6151425114424
722630041505
oct5054313660
91676603757
10682727344
11320422182
12170788a14
13ab5a24a0
146695d4ac
153ee0e8b4
hex28b197b0

682727344 has 80 divisors (see below), whose sum is σ = 1537214112. Its totient is φ = 290893824.

The previous prime is 682727333. The next prime is 682727347. The reversal of 682727344 is 443727286.

It is a super-2 number, since 2×6827273442 = 932233252490588672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 682727344.

It is not an unprimeable number, because it can be changed into a prime (682727347) 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, 185587 + ... + 189229.

Almost surely, 2682727344 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 682727344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768607056).

682727344 is an abundant number, since it is smaller than the sum of its proper divisors (854486768).

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

682727344 is a wasteful number, since it uses less digits than its factorization.

682727344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3728 counting only the distinct ones).

The product of its digits is 451584, while the sum is 43.

The square root of 682727344 is about 26129.0517240867. The cubic root of 682727344 is about 880.5400197840.

The spelling of 682727344 in words is "six hundred eighty-two million, seven hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 53 68 104 106 136 208 212 221 272 424 442 689 848 884 901 1378 1768 1802 2756 3536 3604 3643 5512 7208 7286 11024 11713 14416 14572 23426 29144 46852 47359 58288 61931 93704 94718 123862 187408 189436 193079 247724 378872 386158 495448 757744 772316 805103 990896 1544632 1610206 2510027 3089264 3220412 3282343 5020054 6440824 6564686 10040108 12881648 13129372 20080216 26258744 40160432 42670459 52517488 85340918 170681836 341363672 682727344