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679394304 = 210348191
BaseRepresentation
bin101000011111101…
…011110000000000
31202100101210210000
4220133223300000
52342411104204
6151225440000
722556520261
oct5037536000
91670353700
10679394304
11319555aa6
1216b640000
13aa9a6384
1466332968
153e9a2039
hex287ebc00

679394304 has 110 divisors (see below), whose sum is σ = 2029051904. Its totient is φ = 226437120.

The previous prime is 679394279. The next prime is 679394323. The reversal of 679394304 is 403493976.

It is a self number, because there is not a number n which added to its sum of digits gives 679394304.

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 9 ways as a sum of consecutive naturals, for example, 78849 + ... + 87039.

Almost surely, 2679394304 is an apocalyptic number.

679394304 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 679394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014525952).

679394304 is an abundant number, since it is smaller than the sum of its proper divisors (1349657600).

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

679394304 is an equidigital number, since it uses as much as digits as its factorization.

679394304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 679394304 is about 26065.1933428471. The cubic root of 679394304 is about 879.1047645052.

The spelling of 679394304 in words is "six hundred seventy-nine million, three hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 8191 9216 10368 13824 16382 20736 24573 27648 32764 41472 49146 65528 73719 82944 98292 131056 147438 196584 221157 262112 294876 393168 442314 524224 589752 663471 786336 884628 1048448 1179504 1326942 1572672 1769256 2096896 2359008 2653884 3145344 3538512 4193792 4718016 5307768 6290688 7077024 8387584 9436032 10615536 12581376 14154048 18872064 21231072 25162752 28308096 37744128 42462144 56616192 75488256 84924288 113232384 169848576 226464768 339697152 679394304