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3366468 = 223376173
BaseRepresentation
bin1100110101111001000100
320100000221000
430311321010
51330211333
6200053300
740420530
oct14657104
96300830
103366468
11199a306
121164230
1390b3c1
14638bc0
15467713
hex335e44

3366468 has 96 divisors (see below), whose sum is σ = 10277120. Its totient is φ = 933120.

The previous prime is 3366463. The next prime is 3366497. The reversal of 3366468 is 8646633.

3366468 is a `hidden beast` number, since 3 + 3 + 6 + 646 + 8 = 666.

3366468 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 2×33664682 = 22666213590048, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 36 + 37 + 63 + 68 + 46 + 68 + 8 .

It is not an unprimeable number, because it can be changed into a prime (3366463) 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 31 ways as a sum of consecutive naturals, for example, 46080 + ... + 46152.

Almost surely, 23366468 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 3366468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138560).

3366468 is an abundant number, since it is smaller than the sum of its proper divisors (6910652).

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

3366468 is a wasteful number, since it uses less digits than its factorization.

3366468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3366468 is about 1834.7937213758. The cubic root of 3366468 is about 149.8734933371.

The spelling of 3366468 in words is "three million, three hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 73 84 108 122 126 146 183 189 219 244 252 292 366 378 427 438 511 549 657 732 756 854 876 1022 1098 1281 1314 1533 1647 1708 1971 2044 2196 2562 2628 3066 3294 3843 3942 4453 4599 5124 6132 6588 7686 7884 8906 9198 11529 13359 13797 15372 17812 18396 23058 26718 27594 31171 40077 46116 53436 55188 62342 80154 93513 120231 124684 160308 187026 240462 280539 374052 480924 561078 841617 1122156 1683234 3366468