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3324816 = 2432112099
BaseRepresentation
bin1100101011101110010000
320020220210100
430223232100
51322343231
6155132400
740155225
oct14535620
96226710
103324816
111970a90
121144100
138c5461
1462794c
1545a1e6
hex32bb90

3324816 has 60 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 1007040.

The previous prime is 3324793. The next prime is 3324817. The reversal of 3324816 is 6184233.

It is a happy number.

3324816 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 2×33248162 = 22108802867712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3324816.

It is not an unprimeable number, because it can be changed into a prime (3324817) 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, 535 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 23324816 is an apocalyptic number.

3324816 is a gapful number since it is divisible by the number (36) 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 3324816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077800).

3324816 is an abundant number, since it is smaller than the sum of its proper divisors (6830784).

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

3324816 is a wasteful number, since it uses less digits than its factorization.

3324816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2115 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3324816 is about 1823.4077986013. The cubic root of 3324816 is about 149.2528176366.

The spelling of 3324816 in words is "three million, three hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2099 4198 6297 8396 12594 16792 18891 23089 25188 33584 37782 46178 50376 69267 75564 92356 100752 138534 151128 184712 207801 277068 302256 369424 415602 554136 831204 1108272 1662408 3324816