Search a number
-
+
3283272 = 2332311471
BaseRepresentation
bin1100100001100101001000
320011210210200
430201211020
51320031042
6154212200
736623136
oct14414510
96153720
103283272
111942853
121124060
138ac585
14616756
1544cc4c
hex321948

3283272 has 48 divisors (see below), whose sum is σ = 9185280. Its totient is φ = 1058400.

The previous prime is 3283271. The next prime is 3283283. The reversal of 3283272 is 2723823.

It is not an unprimeable number, because it can be changed into a prime (3283271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1497 + ... + 2967.

It is an arithmetic number, because the mean of its divisors is an integer number (191360).

Almost surely, 23283272 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 3283272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592640).

3283272 is an abundant number, since it is smaller than the sum of its proper divisors (5902008).

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

3283272 is a wasteful number, since it uses less digits than its factorization.

3283272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1507 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3283272 is about 1811.9801323414. The cubic root of 3283272 is about 148.6285660059.

It can be divided in two parts, 328327 and 2, that added together give a square (328329 = 5732).

The spelling of 3283272 in words is "three million, two hundred eighty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1471 2232 2942 4413 5884 8826 11768 13239 17652 26478 35304 45601 52956 91202 105912 136803 182404 273606 364808 410409 547212 820818 1094424 1641636 3283272