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330322020 = 223573672143
BaseRepresentation
bin10011101100000…
…101000001100100
3212000120002121220
4103230011001210
51134030301040
652435540340
711120455650
oct2354050144
9760502556
10330322020
1115a504906
129275a6b0
1353586522
1431c27a60
151deed2d0
hex13b05064

330322020 has 96 divisors (see below), whose sum is σ = 1060405248. Its totient is φ = 75261312.

The previous prime is 330321991. The next prime is 330322039. The reversal of 330322020 is 20223033.

It is a super-2 number, since 2×3303220202 = 218225273793760800, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 153069 + ... + 155211.

It is an arithmetic number, because the mean of its divisors is an integer number (11045888).

Almost surely, 2330322020 is an apocalyptic number.

330322020 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 330322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530202624).

330322020 is an abundant number, since it is smaller than the sum of its proper divisors (730083228).

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

330322020 is a wasteful number, since it uses less digits than its factorization.

330322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 330322020 is about 18174.7632721860. The cubic root of 330322020 is about 691.2670271479.

Adding to 330322020 its reverse (20223033), we get a palindrome (350545053).

The spelling of 330322020 in words is "three hundred thirty million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 367 420 734 1101 1468 1835 2143 2202 2569 3670 4286 4404 5138 5505 6429 7340 7707 8572 10276 10715 11010 12845 12858 15001 15414 21430 22020 25690 25716 30002 30828 32145 38535 42860 45003 51380 60004 64290 75005 77070 90006 128580 150010 154140 180012 225015 300020 450030 786481 900060 1572962 2359443 3145924 3932405 4718886 5505367 7864810 9437772 11010734 11797215 15729620 16516101 22021468 23594430 27526835 33032202 47188860 55053670 66064404 82580505 110107340 165161010 330322020