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330106728 = 23372280703
BaseRepresentation
bin10011101011010…
…000011101101000
3212000011011022010
4103223100131220
51134001403403
652431155520
711115601200
oct2353203550
9760134263
10330106728
1115a378086
1292675ba0
135350c533
1431bad400
151dea9603
hex13ad0768

330106728 has 48 divisors (see below), whose sum is σ = 960007680. Its totient is φ = 94315872.

The previous prime is 330106661. The next prime is 330106747. The reversal of 330106728 is 827601033.

It is a junction number, because it is equal to n+sod(n) for n = 330106695 and 330106704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139176 + ... + 141527.

It is an arithmetic number, because the mean of its divisors is an integer number (20000160).

Almost surely, 2330106728 is an apocalyptic number.

It is an amenable number.

330106728 is an abundant number, since it is smaller than the sum of its proper divisors (629900952).

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

330106728 is a wasteful number, since it uses less digits than its factorization.

330106728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280726 (or 280715 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 330106728 is about 18168.8394786238. The cubic root of 330106728 is about 691.1168135217.

The spelling of 330106728 in words is "three hundred thirty million, one hundred six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 280703 561406 842109 1122812 1684218 1964921 2245624 3368436 3929842 5894763 6736872 7859684 11789526 13754447 15719368 23579052 27508894 41263341 47158104 55017788 82526682 110035576 165053364 330106728