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686335344 = 243292392063
BaseRepresentation
bin101000111010001…
…010010101110000
31202211110110002120
4220322022111300
52401200212334
6152034314240
723002516452
oct5072122560
91684413076
10686335344
113224669a2
12171a28980
13ac2667b6
146721c2d2
15403c3949
hex28e8a570

686335344 has 80 divisors (see below), whose sum is σ = 1842739200. Its totient is φ = 219858688.

The previous prime is 686335303. The next prime is 686335379. The reversal of 686335344 is 443533686.

It is a junction number, because it is equal to n+sod(n) for n = 686335296 and 686335305.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 331657 + ... + 333719.

It is an arithmetic number, because the mean of its divisors is an integer number (23034240).

Almost surely, 2686335344 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 686335344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921369600).

686335344 is an abundant number, since it is smaller than the sum of its proper divisors (1156403856).

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

686335344 is a wasteful number, since it uses less digits than its factorization.

686335344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2336 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 686335344 is about 26198.0026719596. The cubic root of 686335344 is about 882.0884213676.

The spelling of 686335344 in words is "six hundred eighty-six million, three hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 239 348 464 478 696 717 956 1392 1434 1912 2063 2868 3824 4126 5736 6189 6931 8252 11472 12378 13862 16504 20793 24756 27724 33008 41586 49512 55448 59827 83172 99024 110896 119654 166344 179481 239308 332688 358962 478616 493057 717924 957232 986114 1435848 1479171 1972228 2871696 2958342 3944456 5916684 7888912 11833368 14298653 23666736 28597306 42895959 57194612 85791918 114389224 171583836 228778448 343167672 686335344