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3443328 = 27327261
BaseRepresentation
bin1101001000101010000000
320110221100200
431020222000
51340141303
6201445200
741160600
oct15105200
96427320
103443328
111a42029
1211a0800
13937395
14658c00
154803a3
hex348a80

3443328 has 144 divisors (see below), whose sum is σ = 11715210. Its totient is φ = 967680.

The previous prime is 3443327. The next prime is 3443329. The reversal of 3443328 is 8233443.

It is an interprime number because it is at equal distance from previous prime (3443327) and next prime (3443329).

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 28224 = 1848^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3443327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56418 + ... + 56478.

Almost surely, 23443328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857605).

3443328 is an abundant number, since it is smaller than the sum of its proper divisors (8271882).

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

3443328 is a wasteful number, since it uses less digits than its factorization.

3443328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3443328 is about 1855.6206508875. The cubic root of 3443328 is about 151.0055112530.

The spelling of 3443328 in words is "three million, four hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 61 63 64 72 84 96 98 112 122 126 128 144 147 168 183 192 196 224 244 252 288 294 336 366 384 392 427 441 448 488 504 549 576 588 672 732 784 854 882 896 976 1008 1098 1152 1176 1281 1344 1464 1568 1708 1764 1952 2016 2196 2352 2562 2688 2928 2989 3136 3416 3528 3843 3904 4032 4392 4704 5124 5856 5978 6272 6832 7056 7686 7808 8064 8784 8967 9408 10248 11712 11956 13664 14112 15372 17568 17934 18816 20496 23424 23912 26901 27328 28224 30744 35136 35868 40992 47824 53802 54656 56448 61488 70272 71736 81984 95648 107604 122976 143472 163968 191296 215208 245952 286944 382592 430416 491904 573888 860832 1147776 1721664 3443328