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326850048 = 2932710133
BaseRepresentation
bin10011011110110…
…101011000000000
3211210000200222100
4103132311120000
51132133200143
652233310400
711046115410
oct2336653000
9753020870
10326850048
11158553308
1291565400
135293c0c5
14315a2640
151da646d3
hex137b5600

326850048 has 120 divisors (see below), whose sum is σ = 1078176528. Its totient is φ = 93376512.

The previous prime is 326850037. The next prime is 326850067. The reversal of 326850048 is 840058623.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 326849994 and 326850021.

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 11 ways as a sum of consecutive naturals, for example, 27190 + ... + 37322.

Almost surely, 2326850048 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 326850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539088264).

326850048 is an abundant number, since it is smaller than the sum of its proper divisors (751326480).

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

326850048 is a wasteful number, since it uses less digits than its factorization.

326850048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 326850048 is about 18078.9946623146. The cubic root of 326850048 is about 688.8365522655.

The spelling of 326850048 in words is "three hundred twenty-six million, eight hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10133 10752 16128 20266 30399 32256 40532 60798 70931 81064 91197 121596 141862 162128 182394 212793 243192 283724 324256 364788 425586 486384 567448 638379 648512 729576 851172 972768 1134896 1276758 1297024 1459152 1702344 1945536 2269792 2553516 2594048 2918304 3404688 3891072 4539584 5107032 5188096 5836608 6809376 7782144 9079168 10214064 11673216 13618752 15564288 18158336 20428128 23346432 27237504 36316672 40856256 46692864 54475008 81712512 108950016 163425024 326850048