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686010304 = 26743149239
BaseRepresentation
bin101000111000111…
…010111111000000
31202210211221020001
4220320322333000
52401104312204
6152023325344
722666664020
oct5070727700
91683757201
10686010304
11322264771
121718b0854
13ac181875
1467175a80
154035c4a4
hex28e3afc0

686010304 has 112 divisors (see below), whose sum is σ = 1609344000. Its totient is φ = 284046336.

The previous prime is 686010293. The next prime is 686010313. The reversal of 686010304 is 403010686.

686010304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6860103042 = 941220274388344832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 2870217 + ... + 2870455.

Almost surely, 2686010304 is an apocalyptic number.

686010304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804672000).

686010304 is an abundant number, since it is smaller than the sum of its proper divisors (923333696).

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

686010304 is a wasteful number, since it uses less digits than its factorization.

686010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 686010304 is about 26191.7984109530. The cubic root of 686010304 is about 881.9491506276.

The spelling of 686010304 in words is "six hundred eighty-six million, ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 149 172 224 239 298 301 344 448 478 596 602 688 956 1043 1192 1204 1376 1673 1912 2086 2384 2408 2752 3346 3824 4172 4768 4816 6407 6692 7648 8344 9536 9632 10277 12814 13384 15296 16688 19264 20554 25628 26768 33376 35611 41108 44849 51256 53536 66752 71222 71939 82216 89698 102512 107072 142444 143878 164432 179396 205024 249277 284888 287756 328864 358792 410048 498554 569776 575512 657728 717584 997108 1139552 1151024 1435168 1531273 1994216 2279104 2302048 2870336 3062546 3988432 4604096 6125092 7976864 10718911 12250184 15953728 21437822 24500368 42875644 49000736 85751288 98001472 171502576 343005152 686010304