Search a number
-
+
330312300 = 223521577013
BaseRepresentation
bin10011101100000…
…010101001101100
3212000112121021220
4103230002221230
51134024443200
652435423340
711120415423
oct2354025154
9760477256
10330312300
1115a4a857a
1292754b50
1353581c86
1431c242ba
151deea4a0
hex13b02a6c

330312300 has 72 divisors (see below), whose sum is σ = 961928016. Its totient is φ = 87509760.

The previous prime is 330312299. The next prime is 330312331. The reversal of 330312300 is 3213033.

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

It is a self number, because there is not a number n which added to its sum of digits gives 330312300.

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 23 ways as a sum of consecutive naturals, for example, 43594 + ... + 50606.

Almost surely, 2330312300 is an apocalyptic number.

330312300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480964008).

330312300 is an abundant number, since it is smaller than the sum of its proper divisors (631615716).

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

330312300 is a wasteful number, since it uses less digits than its factorization.

330312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 330312300 is about 18174.4958664608. The cubic root of 330312300 is about 691.2602467124.

Adding to 330312300 its reverse (3213033), we get a palindrome (333525333).

The spelling of 330312300 in words is "three hundred thirty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 7013 7850 9420 11775 14026 15700 21039 23550 28052 35065 42078 47100 70130 84156 105195 140260 175325 210390 350650 420780 525975 701300 1051950 1101041 2103900 2202082 3303123 4404164 5505205 6606246 11010410 13212492 16515615 22020820 27526025 33031230 55052050 66062460 82578075 110104100 165156150 330312300