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330325000 = 235573181
BaseRepresentation
bin10011101100000…
…101110000001000
3212000120020201021
4103230011300020
51134030400000
652440002224
711120500435
oct2354056010
9760506637
10330325000
1115a507075
1292760374
13535879a5
1431c28b8c
151deee11a
hex13b05c08

330325000 has 96 divisors (see below), whose sum is σ = 789090120. Its totient is φ = 129600000.

The previous prime is 330324979. The next prime is 330325001. The reversal of 330325000 is 523033.

It can be written as a sum of positive squares in 12 ways, for example, as 249576804 + 80748196 = 15798^2 + 8986^2 .

It is a super-2 number, since 2×3303250002 = 218229211250000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330325001) 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, 1824910 + ... + 1825090.

Almost surely, 2330325000 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 330325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394545060).

330325000 is an abundant number, since it is smaller than the sum of its proper divisors (458765120).

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

330325000 is an equidigital number, since it uses as much as digits as its factorization.

330325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 330325000 is about 18174.8452538117. The cubic root of 330325000 is about 691.2691058967.

Adding to 330325000 its reverse (523033), we get a palindrome (330848033).

The spelling of 330325000 in words is "three hundred thirty million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 181 200 250 292 362 365 500 584 625 724 730 905 1000 1250 1448 1460 1810 1825 2500 2920 3125 3620 3650 4525 5000 6250 7240 7300 9050 9125 12500 13213 14600 18100 18250 22625 25000 26426 36200 36500 45250 45625 52852 66065 73000 90500 91250 105704 113125 132130 181000 182500 226250 228125 264260 330325 365000 452500 456250 528520 565625 660650 905000 912500 1131250 1321300 1651625 1825000 2262500 2642600 3303250 4525000 6606500 8258125 13213000 16516250 33032500 41290625 66065000 82581250 165162500 330325000