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3280680 = 2332513701
BaseRepresentation
bin1100100000111100101000
320011200020200
430200330220
51314440210
6154152200
736612444
oct14407450
96150220
103280680
111940907
121122660
138ab340
14615824
1544c0c0
hex320f28

3280680 has 96 divisors (see below), whose sum is σ = 11498760. Its totient is φ = 806400.

The previous prime is 3280663. The next prime is 3280681. The reversal of 3280680 is 860823.

It can be written as a sum of positive squares in 4 ways, for example, as 2643876 + 636804 = 1626^2 + 798^2 .

It is a super-2 number, since 2×32806802 = 21525722524800, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3280681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4330 + ... + 5030.

Almost surely, 23280680 is an apocalyptic number.

3280680 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 3280680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749380).

3280680 is an abundant number, since it is smaller than the sum of its proper divisors (8218080).

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

3280680 is a wasteful number, since it uses less digits than its factorization.

3280680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3280680 is about 1811.2647514927. The cubic root of 3280680 is about 148.5894437862.

The spelling of 3280680 in words is "three million, two hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 701 780 936 1170 1402 1560 2103 2340 2804 3505 4206 4680 5608 6309 7010 8412 9113 10515 12618 14020 16824 18226 21030 25236 27339 28040 31545 36452 42060 45565 50472 54678 63090 72904 82017 84120 91130 109356 126180 136695 164034 182260 218712 252360 273390 328068 364520 410085 546780 656136 820170 1093560 1640340 3280680