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327004272 = 24327401809
BaseRepresentation
bin10011011111011…
…011000001110000
3211210022112112100
4103133123001300
51132203114042
652240500400
711050330140
oct2337330160
9753275470
10327004272
11158649171
129161a700
135299436a
1431602920
151da9524c
hex137db070

327004272 has 120 divisors (see below), whose sum is σ = 1049798880. Its totient is φ = 93081600.

The previous prime is 327004267. The next prime is 327004273. The reversal of 327004272 is 272400723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327004273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403804 + ... + 404612.

It is an arithmetic number, because the mean of its divisors is an integer number (8748324).

Almost surely, 2327004272 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 327004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524899440).

327004272 is an abundant number, since it is smaller than the sum of its proper divisors (722794608).

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

327004272 is a wasteful number, since it uses less digits than its factorization.

327004272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 327004272 is about 18083.2594407092. The cubic root of 327004272 is about 688.9448776015.

Adding to 327004272 its reverse (272400723), we get a palindrome (599404995).

The spelling of 327004272 in words is "three hundred twenty-seven million, four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 401 504 802 809 1008 1203 1604 1618 2406 2427 2807 3208 3236 3609 4812 4854 5614 5663 6416 6472 7218 7281 8421 9624 9708 11228 11326 12944 14436 14562 16842 16989 19248 19416 22456 22652 25263 28872 29124 33684 33978 38832 44912 45304 50526 50967 57744 58248 67368 67956 90608 101052 101934 116496 134736 135912 202104 203868 271824 324409 404208 407736 648818 815472 973227 1297636 1946454 2270863 2595272 2919681 3892908 4541726 5190544 5839362 6812589 7785816 9083452 11678724 13625178 15571632 18166904 20437767 23357448 27250356 36333808 40875534 46714896 54500712 81751068 109001424 163502136 327004272