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3268380 = 2235194761
BaseRepresentation
bin1100011101111100011100
320011001101010
430131330130
51314042010
6154015220
736531543
oct14357434
96131333
103268380
111932645
121117510
138a586b
1461115a
15448620
hex31df1c

3268380 has 96 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 794880.

The previous prime is 3268379. The next prime is 3268381. The reversal of 3268380 is 838623.

It is an interprime number because it is at equal distance from previous prime (3268379) and next prime (3268381).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268381) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53550 + ... + 53610.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 23268380 is an apocalyptic number.

3268380 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 3268380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3268380 is an abundant number, since it is smaller than the sum of its proper divisors (6730980).

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

3268380 is a wasteful number, since it uses less digits than its factorization.

3268380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3268380 is about 1807.8661454875. The cubic root of 3268380 is about 148.4035129205.

The spelling of 3268380 in words is "three million, two hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 61 76 94 95 114 122 141 183 188 190 228 235 244 282 285 305 366 380 470 564 570 610 705 732 893 915 940 1140 1159 1220 1410 1786 1830 2318 2679 2820 2867 3477 3572 3660 4465 4636 5358 5734 5795 6954 8601 8930 10716 11468 11590 13395 13908 14335 17202 17385 17860 23180 26790 28670 34404 34770 43005 53580 54473 57340 69540 86010 108946 163419 172020 217892 272365 326838 544730 653676 817095 1089460 1634190 3268380