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3288330 = 233519641
BaseRepresentation
bin1100100010110100001010
320012001202000
430202310022
51320211310
6154251430
736643653
oct14426412
96161660
103288330
111946631
121126b76
138b1976
1461852a
1544e4c0
hex322d0a

3288330 has 64 divisors (see below), whose sum is σ = 9244800. Its totient is φ = 829440.

The previous prime is 3288319. The next prime is 3288343. The reversal of 3288330 is 338823.

3288330 is a `hidden beast` number, since 328 + 8 + 330 = 666.

3288330 is a nontrivial binomial coefficient, being equal to C(2565, 2).

It is a super-2 number, since 2×32883302 = 21626228377800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3288294 and 3288303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4810 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (144450).

Almost surely, 23288330 is an apocalyptic number.

3288330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3288330 is the 2564-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3288330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622400).

3288330 is an abundant number, since it is smaller than the sum of its proper divisors (5956470).

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

3288330 is a wasteful number, since it uses less digits than its factorization.

3288330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3288330 is about 1813.3753058868. The cubic root of 3288330 is about 148.7048494184.

The spelling of 3288330 in words is "three million, two hundred eighty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 641 855 1026 1282 1710 1923 2565 3205 3846 5130 5769 6410 9615 11538 12179 17307 19230 24358 28845 34614 36537 57690 60895 73074 86535 109611 121790 173070 182685 219222 328833 365370 548055 657666 1096110 1644165 3288330