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3281376 = 253719257
BaseRepresentation
bin1100100001000111100000
320011201012110
430201013200
51320001001
6154155320
736614460
oct14410740
96151173
103281376
11194138a
121122b40
138ab757
14615ba0
1544c3d6
hex3211e0

3281376 has 96 divisors (see below), whose sum is σ = 10402560. Its totient is φ = 884736.

The previous prime is 3281363. The next prime is 3281393. The reversal of 3281376 is 6731823.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (6048) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12640 + ... + 12896.

It is an arithmetic number, because the mean of its divisors is an integer number (108360).

Almost surely, 23281376 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 3281376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201280).

3281376 is an abundant number, since it is smaller than the sum of its proper divisors (7121184).

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

3281376 is a wasteful number, since it uses less digits than its factorization.

3281376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3281376 is about 1811.4568722440. The cubic root of 3281376 is about 148.5999508498.

The spelling of 3281376 in words is "three million, two hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 257 266 304 336 399 456 514 532 608 672 771 798 912 1028 1064 1542 1596 1799 1824 2056 2128 3084 3192 3598 4112 4256 4883 5397 6168 6384 7196 8224 9766 10794 12336 12768 14392 14649 19532 21588 24672 28784 29298 34181 39064 43176 57568 58596 68362 78128 86352 102543 117192 136724 156256 172704 205086 234384 273448 410172 468768 546896 820344 1093792 1640688 3281376