Search a number
-
+
320001330 = 235111019601
BaseRepresentation
bin10011000100101…
…101010100110010
3211022010202022010
4103010231110302
51123410020310
651430423350
710633652325
oct2304552462
9738122263
10320001330
111546a5810
128b201b56
13513b19cc
14306dc7bc
151d160320
hex1312d532

320001330 has 64 divisors (see below), whose sum is σ = 846205056. Its totient is φ = 76800000.

The previous prime is 320001317. The next prime is 320001347. The reversal of 320001330 is 33100023.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 28530 + ... + 38130.

It is an arithmetic number, because the mean of its divisors is an integer number (13221954).

Almost surely, 2320001330 is an apocalyptic number.

320001330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423102528).

320001330 is an abundant number, since it is smaller than the sum of its proper divisors (526203726).

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

320001330 is a wasteful number, since it uses less digits than its factorization.

320001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 320001330 is about 17888.5809945898. The cubic root of 320001330 is about 683.9913262810.

Adding to 320001330 its reverse (33100023), we get a palindrome (353101353).

The spelling of 320001330 in words is "three hundred twenty million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 9601 11110 16665 19202 28803 33330 48005 57606 96010 105611 144015 211222 288030 316833 528055 633666 969701 1056110 1584165 1939402 2909103 3168330 4848505 5818206 9697010 10666711 14545515 21333422 29091030 32000133 53333555 64000266 106667110 160000665 320001330