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3884328 = 233372367
BaseRepresentation
bin1110110100010100101000
321022100022000
432310110220
51443244303
6215131000
745005400
oct16642450
97270260
103884328
112213398
121373a60
13a60026
14731800
1551ada3
hex3b4528

3884328 has 96 divisors (see below), whose sum is σ = 12585600. Its totient is φ = 1106784.

The previous prime is 3884311. The next prime is 3884333. The reversal of 3884328 is 8234883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 3884292 and 3884301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10401 + ... + 10767.

It is an arithmetic number, because the mean of its divisors is an integer number (131100).

Almost surely, 23884328 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 3884328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292800).

3884328 is an abundant number, since it is smaller than the sum of its proper divisors (8701272).

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

3884328 is a wasteful number, since it uses less digits than its factorization.

3884328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3884328 is about 1970.8698587172. The cubic root of 3884328 is about 157.1949651671.

The spelling of 3884328 in words is "three million, eight hundred eighty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 367 378 392 441 504 588 734 756 882 1101 1176 1323 1468 1512 1764 2202 2569 2646 2936 3303 3528 4404 5138 5292 6606 7707 8808 9909 10276 10584 13212 15414 17983 19818 20552 23121 26424 30828 35966 39636 46242 53949 61656 69363 71932 79272 92484 107898 138726 143864 161847 184968 215796 277452 323694 431592 485541 554904 647388 971082 1294776 1942164 3884328