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3324216 = 233747421
BaseRepresentation
bin1100101011100100111000
320020212222010
430223210320
51322333331
6155125520
740153410
oct14534470
96225863
103324216
111970595
1211438a0
138c50bc
14627640
15459e46
hex32b938

3324216 has 64 divisors (see below), whose sum is σ = 9722880. Its totient is φ = 927360.

The previous prime is 3324203. The next prime is 3324227. The reversal of 3324216 is 6124233.

It is a happy number.

3324216 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 2×33242162 = 22100824029312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 3324192 and 3324201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7686 + ... + 8106.

It is an arithmetic number, because the mean of its divisors is an integer number (151920).

Almost surely, 23324216 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 3324216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861440).

3324216 is an abundant number, since it is smaller than the sum of its proper divisors (6398664).

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

3324216 is a wasteful number, since it uses less digits than its factorization.

3324216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 3324216 is about 1823.2432640764. The cubic root of 3324216 is about 149.2438389866.

Adding to 3324216 its reverse (6124233), we get a palindrome (9448449).

The spelling of 3324216 in words is "three million, three hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 421 564 658 842 987 1128 1263 1316 1684 1974 2526 2632 2947 3368 3948 5052 5894 7896 8841 10104 11788 17682 19787 23576 35364 39574 59361 70728 79148 118722 138509 158296 237444 277018 415527 474888 554036 831054 1108072 1662108 3324216