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3325644 = 223375383
BaseRepresentation
bin1100101011111011001100
320020221221000
430223323030
51322410034
6155140300
740160520
oct14537314
96227830
103325644
111971673
121144690
138c594a
14627d80
1545a599
hex32becc

3325644 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 921024.

The previous prime is 3325643. The next prime is 3325657. The reversal of 3325644 is 4465233.

3325644 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33256442 = 22119816029472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3325643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40027 + ... + 40109.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23325644 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 3325644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3325644 is an abundant number, since it is smaller than the sum of its proper divisors (6834996).

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

3325644 is a wasteful number, since it uses less digits than its factorization.

3325644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 3325644 is about 1823.6348318674. The cubic root of 3325644 is about 149.2652063999.

It can be divided in two parts, 3325 and 644, that added together give a square (3969 = 632).

The spelling of 3325644 in words is "three million, three hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 83 84 106 108 126 159 166 189 212 249 252 318 332 371 378 477 498 581 636 742 747 756 954 996 1113 1162 1431 1484 1494 1743 1908 2226 2241 2324 2862 2988 3339 3486 4399 4452 4482 5229 5724 6678 6972 8798 8964 10017 10458 13197 13356 15687 17596 20034 20916 26394 30793 31374 39591 40068 52788 61586 62748 79182 92379 118773 123172 158364 184758 237546 277137 369516 475092 554274 831411 1108548 1662822 3325644