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328025000 = 235513121
BaseRepresentation
bin10011100011010…
…100001110101000
3211212020101201002
4103203110032220
51132433300000
652314414132
711062111052
oct2343241650
9755211632
10328025000
11159186046
1291a31348
1352c60b44
14317ca8d2
151dbe78d5
hex138d43a8

328025000 has 48 divisors (see below), whose sum is σ = 768817980. Its totient is φ = 131200000.

The previous prime is 328024951. The next prime is 328025029. The reversal of 328025000 is 520823.

328025000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 91049764 + 236975236 = 9542^2 + 15394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 18440 + ... + 31560.

Almost surely, 2328025000 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 328025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384408990).

328025000 is an abundant number, since it is smaller than the sum of its proper divisors (440792980).

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

328025000 is an equidigital number, since it uses as much as digits as its factorization.

328025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 328025000 is about 18111.4604601617. The cubic root of 328025000 is about 689.6609690605.

Adding to 328025000 its reverse (520823), we get a palindrome (328545823).

The spelling of 328025000 in words is "three hundred twenty-eight million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 13121 25000 26242 52484 65605 104968 131210 262420 328025 524840 656050 1312100 1640125 2624200 3280250 6560500 8200625 13121000 16401250 32802500 41003125 65605000 82006250 164012500 328025000