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328983228 = 223371133851
BaseRepresentation
bin10011100110111…
…110001010111100
3211221001002011000
4103212332022330
51133204430403
652351130300
711103211530
oct2346761274
9757032130
10328983228
1115977aa72
1292213990
1353208042
1431999bc0
151dd367a3
hex139be2bc

328983228 has 96 divisors (see below), whose sum is σ = 983646720. Its totient is φ = 93139200.

The previous prime is 328983227. The next prime is 328983229. The reversal of 328983228 is 822389823.

It is an interprime number because it is at equal distance from previous prime (328983227) and next prime (328983229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328983223) 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, 83503 + ... + 87353.

It is an arithmetic number, because the mean of its divisors is an integer number (10246320).

Almost surely, 2328983228 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 328983228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491823360).

328983228 is an abundant number, since it is smaller than the sum of its proper divisors (654663492).

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

328983228 is a wasteful number, since it uses less digits than its factorization.

328983228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3976 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 328983228 is about 18137.8948061786. The cubic root of 328983228 is about 690.3318630456.

The spelling of 328983228 in words is "three hundred twenty-eight million, nine hundred eighty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1017 1356 1582 2034 2373 3051 3164 3851 4068 4746 6102 7119 7702 9492 11553 12204 14238 15404 21357 23106 26957 28476 34659 42714 46212 53914 69318 80871 85428 103977 107828 138636 161742 207954 242613 323484 415908 435163 485226 727839 870326 970452 1305489 1455678 1740652 2610978 2911356 3046141 3916467 5221956 6092282 7832934 9138423 11749401 12184564 15665868 18276846 23498802 27415269 36553692 46997604 54830538 82245807 109661076 164491614 328983228