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3283232 = 25374759
BaseRepresentation
bin1100100001100100100000
320011210202012
430201210200
51320030412
6154212052
736623051
oct14414440
96153665
103283232
111942817
121124028
138ac554
14616728
1544cc22
hex321920

3283232 has 48 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1536768.

The previous prime is 3283213. The next prime is 3283237. The reversal of 3283232 is 2323823.

It is a happy number.

It is a super-2 number, since 2×32832322 = 21559224731648, which contains 22 as substring.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3283198 and 3283207.

It is not an unprimeable number, because it can be changed into a prime (3283237) 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 7 ways as a sum of consecutive naturals, for example, 55619 + ... + 55677.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 23283232 is an apocalyptic number.

3283232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

3283232 is an abundant number, since it is smaller than the sum of its proper divisors (3611488).

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

3283232 is a wasteful number, since it uses less digits than its factorization.

3283232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 3283232 is about 1811.9690946592. The cubic root of 3283232 is about 148.6279624244.

It can be divided in two parts, 32 and 83232, that multiplied together give a square (2663424 = 16322).

The spelling of 3283232 in words is "three million, two hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 47 59 74 94 118 148 188 236 296 376 472 592 752 944 1184 1504 1739 1888 2183 2773 3478 4366 5546 6956 8732 11092 13912 17464 22184 27824 34928 44368 55648 69856 88736 102601 205202 410404 820808 1641616 3283232