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326670848 = 297229449
BaseRepresentation
bin10011011110001…
…001101000000000
3211202200121011022
4103132021220000
51132111431343
652225405012
711044441100
oct2336115000
9752617138
10326670848
11158440709
1291499768
13528a867a
1431557200
151da2b568
hex13789a00

326670848 has 120 divisors (see below), whose sum is σ = 787198500. Its totient is φ = 134873088.

The previous prime is 326670811. The next prime is 326670881. The reversal of 326670848 is 848076623.

It can be written as a sum of positive squares in 2 ways, for example, as 325153024 + 1517824 = 18032^2 + 1232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 326670799 and 326670808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727328 + ... + 727776.

Almost surely, 2326670848 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 326670848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393599250).

326670848 is an abundant number, since it is smaller than the sum of its proper divisors (460527652).

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

326670848 is an equidigital number, since it uses as much as digits as its factorization.

326670848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 326670848 is about 18074.0379550337. The cubic root of 326670848 is about 688.7106412380.

The spelling of 326670848 in words is "three hundred twenty-six million, six hundred seventy thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 449 464 512 784 812 896 898 928 1421 1568 1624 1792 1796 1856 2842 3136 3143 3248 3584 3592 3712 5684 6272 6286 6496 7184 7424 11368 12544 12572 12992 13021 14368 14848 22001 22736 25088 25144 25984 26042 28736 44002 45472 50288 51968 52084 57472 88004 90944 91147 100576 103936 104168 114944 176008 181888 182294 201152 208336 229888 352016 363776 364588 402304 416672 638029 704032 727552 729176 804608 833344 1276058 1408064 1458352 1609216 1666688 2552116 2816128 2916704 3333376 5104232 5632256 5833408 6666752 10208464 11264512 11666816 20416928 23333632 40833856 46667264 81667712 163335424 326670848