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3264984 = 2332137331
BaseRepresentation
bin1100011101000111011000
320010212201100
430131013120
51313434414
6153551400
736515622
oct14350730
96125640
103264984
111930038
121115560
138a4158
1460dc12
15447609
hex31d1d8

3264984 has 48 divisors (see below), whose sum is σ = 8934120. Its totient is φ = 1077120.

The previous prime is 3264983. The next prime is 3265007. The reversal of 3264984 is 4894623.

It is a happy number.

3264984 is a `hidden beast` number, since 3 + 2 + 649 + 8 + 4 = 666.

3264984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 310 + 27 + 6 + 45 + 95 + 87 + 410 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3264983) 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 11 ways as a sum of consecutive naturals, for example, 9699 + ... + 10029.

Almost surely, 23264984 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 3264984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467060).

3264984 is an abundant number, since it is smaller than the sum of its proper divisors (5669136).

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

3264984 is a wasteful number, since it uses less digits than its factorization.

3264984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3264984 is about 1806.9266725576. The cubic root of 3264984 is about 148.3520957063.

The spelling of 3264984 in words is "three million, two hundred sixty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 331 411 548 662 822 993 1096 1233 1324 1644 1986 2466 2648 2979 3288 3972 4932 5958 7944 9864 11916 23832 45347 90694 136041 181388 272082 362776 408123 544164 816246 1088328 1632492 3264984