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330106768 = 2429711437
BaseRepresentation
bin10011101011010…
…000011110010000
3212000011011100121
4103223100132100
51134001404033
652431200024
711115601255
oct2353203620
9760134317
10330106768
1115a378112
1292676014
135350c564
1431bad42c
151dea962d
hex13ad0790

330106768 has 20 divisors (see below), whose sum is σ = 661637340. Its totient is φ = 159361664.

The previous prime is 330106759. The next prime is 330106771. The reversal of 330106768 is 867601033.

It can be written as a sum of positive squares in 2 ways, for example, as 210598144 + 119508624 = 14512^2 + 10932^2 .

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 3 ways as a sum of consecutive naturals, for example, 355255 + ... + 356182.

It is an arithmetic number, because the mean of its divisors is an integer number (33081867).

Almost surely, 2330106768 is an apocalyptic number.

It is an amenable number.

330106768 is an abundant number, since it is smaller than the sum of its proper divisors (331530572).

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

330106768 is a wasteful number, since it uses less digits than its factorization.

330106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711474 (or 711468 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 330106768 is about 18168.8405794096. The cubic root of 330106768 is about 691.1168414366.

The spelling of 330106768 in words is "three hundred thirty million, one hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 711437 1422874 2845748 5691496 11382992 20631673 41263346 82526692 165053384 330106768