Search a number
-
+
330330030 = 23541271991
BaseRepresentation
bin10011101100000…
…110111110101110
3212000120111121120
4103230012332232
51134031030110
652440041410
711120521212
oct2354067656
9760514546
10330330030
1115a50a928
1292763266
135358a074
1431c2a942
151e000870
hex13b06fae

330330030 has 64 divisors (see below), whose sum is σ = 815947776. Its totient is φ = 85536000.

The previous prime is 330330023. The next prime is 330330031. The reversal of 330330030 is 30033033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330329991 and 330330009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330330031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332835 + ... + 333825.

It is an arithmetic number, because the mean of its divisors is an integer number (12749184).

Almost surely, 2330330030 is an apocalyptic number.

330330030 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 330330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407973888).

330330030 is an abundant number, since it is smaller than the sum of its proper divisors (485617746).

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

330330030 is a wasteful number, since it uses less digits than its factorization.

330330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313.

The product of its (nonzero) digits is 243, while the sum is 15.

The square root of 330330030 is about 18174.9836313544. The cubic root of 330330030 is about 691.2726146290.

Adding to 330330030 its reverse (30033033), we get a palindrome (360363063).

It can be divided in two parts, 3303 and 30030, that added together give a palindrome (33333).

The spelling of 330330030 in words is "three hundred thirty million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 991 1230 1355 1626 1982 2710 2973 4065 4955 5946 8130 9910 11111 14865 22222 29730 33333 40631 55555 66666 81262 111110 121893 166665 203155 243786 268561 333330 406310 537122 609465 805683 1218930 1342805 1611366 2685610 4028415 8056830 11011001 22022002 33033003 55055005 66066006 110110010 165165015 330330030