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3329872 = 247132287
BaseRepresentation
bin1100101100111101010000
320021011201121
430230331100
51323023442
6155212024
740206040
oct14547520
96234647
103329872
111974867
121147014
138c7850
14629720
1545b967
hex32cf50

3329872 has 40 divisors (see below), whose sum is σ = 7943936. Its totient is φ = 1316736.

The previous prime is 3329861. The next prime is 3329873. The reversal of 3329872 is 2789233.

3329872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33298722 = 22176095072768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 2599.

Almost surely, 23329872 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 3329872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971968).

3329872 is an abundant number, since it is smaller than the sum of its proper divisors (4614064).

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

3329872 is a wasteful number, since it uses less digits than its factorization.

3329872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2309 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 3329872 is about 1824.7936869685. The cubic root of 3329872 is about 149.3284348592.

The spelling of 3329872 in words is "three million, three hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2287 4574 9148 16009 18296 29731 32018 36592 59462 64036 118924 128072 208117 237848 256144 416234 475696 832468 1664936 3329872