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3306464 = 25729509
BaseRepresentation
bin1100100111001111100000
320012222121122
430213033200
51321301324
6154511412
740050560
oct14471740
96188548
103306464
111959217
121135568
138b9cb5
14620da0
15454a5e
hex3273e0

3306464 has 48 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 1365504.

The previous prime is 3306461. The next prime is 3306467. The reversal of 3306464 is 4646033.

3306464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3306461) and next prime (3306467).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306461) 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, 6242 + ... + 6750.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 23306464 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 3306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

3306464 is an abundant number, since it is smaller than the sum of its proper divisors (4404736).

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

3306464 is a wasteful number, since it uses less digits than its factorization.

3306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3306464 is about 1818.3684995072. The cubic root of 3306464 is about 148.9777003698.

The spelling of 3306464 in words is "three million, three hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 509 812 928 1018 1624 2036 3248 3563 4072 6496 7126 8144 14252 14761 16288 28504 29522 57008 59044 103327 114016 118088 206654 236176 413308 472352 826616 1653232 3306464