Search a number
-
+
3331728 = 2432171361
BaseRepresentation
bin1100101101011010010000
320021021021100
430231122100
51323103403
6155224400
740214331
oct14553220
96237240
103331728
1119761a4
121148100
138c864a
1462a288
1545c2a3
hex32d690

3331728 has 60 divisors (see below), whose sum is σ = 9879948. Its totient is φ = 1044480.

The previous prime is 3331673. The next prime is 3331733. The reversal of 3331728 is 8271333.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 1774224 = 1248^2 + 1332^2 .

It is a super-2 number, since 2×33317282 = 22200822931968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1768 + ... + 3128.

Almost surely, 23331728 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 3331728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939974).

3331728 is an abundant number, since it is smaller than the sum of its proper divisors (6548220).

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

3331728 is a wasteful number, since it uses less digits than its factorization.

3331728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1383 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3331728 is about 1825.3021667658. The cubic root of 3331728 is about 149.3561738731.

The spelling of 3331728 in words is "three million, three hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1361 2448 2722 4083 5444 8166 10888 12249 16332 21776 23137 24498 32664 46274 48996 65328 69411 92548 97992 138822 185096 195984 208233 277644 370192 416466 555288 832932 1110576 1665864 3331728