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328325000 = 235523571
BaseRepresentation
bin10011100100011…
…101011110001000
3211212210122020012
4103210131132020
51133022400000
652325051052
711064500513
oct2344353610
9755718205
10328325000
11159370483
1291b56a88
1353037563
1431867d7a
151dc56735
hex1391d788

328325000 has 96 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 125400000.

The previous prime is 328324981. The next prime is 328325017. The reversal of 328325000 is 523823.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574715 + ... + 575285.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2328325000 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 328325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

328325000 is an abundant number, since it is smaller than the sum of its proper divisors (475998520).

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

328325000 is an equidigital number, since it uses as much as digits as its factorization.

328325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 328325000 is about 18119.7406162450. The cubic root of 328325000 is about 689.8711514641.

Adding to 328325000 its reverse (523823), we get a palindrome (328848823).

The spelling of 328325000 in words is "three hundred twenty-eight million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 571 575 625 920 1000 1142 1150 1250 2284 2300 2500 2855 2875 3125 4568 4600 5000 5710 5750 6250 11420 11500 12500 13133 14275 14375 22840 23000 25000 26266 28550 28750 52532 57100 57500 65665 71375 71875 105064 114200 115000 131330 142750 143750 262660 285500 287500 328325 356875 525320 571000 575000 656650 713750 1313300 1427500 1641625 1784375 2626600 2855000 3283250 3568750 6566500 7137500 8208125 13133000 14275000 16416250 32832500 41040625 65665000 82081250 164162500 328325000