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328540300 = 2252111717569
BaseRepresentation
bin10011100101010…
…010000010001100
3211220012120120021
4103211102002030
51133101242200
652333431524
711066355304
oct2345220214
9756176507
10328540300
111594a8210
129203b5a4
13530b155a
14318c2604
151dc9a41a
hex1395208c

328540300 has 72 divisors (see below), whose sum is σ = 823541040. Its totient is φ = 112435200.

The previous prime is 328540291. The next prime is 328540301. The reversal of 328540300 is 3045823.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (328540301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9916 + ... + 27484.

It is an arithmetic number, because the mean of its divisors is an integer number (11438070).

Almost surely, 2328540300 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 328540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411770520).

328540300 is an abundant number, since it is smaller than the sum of its proper divisors (495000740).

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

328540300 is a wasteful number, since it uses less digits than its factorization.

328540300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17611 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 328540300 is about 18125.6806768739. The cubic root of 328540300 is about 690.0219134677.

The spelling of 328540300 in words is "three hundred twenty-eight million, five hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 17569 18700 35138 70276 87845 175690 193259 298673 351380 386518 439225 597346 773036 878450 966295 1194692 1493365 1756900 1932590 2986730 3285403 3865180 4831475 5973460 6570806 7466825 9662950 13141612 14933650 16427015 19325900 29867300 32854030 65708060 82135075 164270150 328540300