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328442544 = 243261139269
BaseRepresentation
bin10011100100111…
…010001010110000
3211220000121110200
4103210322022300
51133040130134
652331355200
711065500303
oct2344721260
9756017420
10328442544
11159440821
1291bb2b00
1353078c01
1431898b3a
151dc7b499
hex1393a2b0

328442544 has 120 divisors (see below), whose sum is σ = 944470800. Its totient is φ = 106513920.

The previous prime is 328442519. The next prime is 328442581. The reversal of 328442544 is 445244823.

328442544 is a `hidden beast` number, since 32 + 84 + 4 + 2 + 544 = 666.

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 = 328442499 and 328442508.

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 23 ways as a sum of consecutive naturals, for example, 1220842 + ... + 1221110.

It is an arithmetic number, because the mean of its divisors is an integer number (7870590).

Almost surely, 2328442544 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 328442544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472235400).

328442544 is an abundant number, since it is smaller than the sum of its proper divisors (616028256).

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

328442544 is a wasteful number, since it uses less digits than its factorization.

328442544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 328442544 is about 18122.9838602808. The cubic root of 328442544 is about 689.9534688218.

The spelling of 328442544 in words is "three hundred twenty-eight million, four hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 139 144 183 244 269 278 366 417 488 538 549 556 732 807 834 976 1076 1098 1112 1251 1464 1614 1668 2152 2196 2224 2421 2502 2928 3228 3336 4304 4392 4842 5004 6456 6672 8479 8784 9684 10008 12912 16409 16958 19368 20016 25437 32818 33916 37391 38736 49227 50874 65636 67832 74782 76311 98454 101748 112173 131272 135664 147681 149564 152622 196908 203496 224346 262544 295362 299128 305244 336519 393816 406992 448692 590724 598256 610488 673038 787632 897384 1181448 1220976 1346076 1794768 2280851 2362896 2692152 4561702 5384304 6842553 9123404 13685106 18246808 20527659 27370212 36493616 41055318 54740424 82110636 109480848 164221272 328442544