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3320304 = 2431317313
BaseRepresentation
bin1100101010100111110000
320020200121020
430222213300
51322222204
6155055440
740136121
oct14524760
96220536
103320304
111968659
121141580
138c33a0
14626048
15458bd9
hex32a9f0

3320304 has 80 divisors (see below), whose sum is σ = 9811872. Its totient is φ = 958464.

The previous prime is 3320299. The next prime is 3320309. The reversal of 3320304 is 4030233.

3320304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3320299) and next prime (3320309).

It is a super-2 number, since 2×33203042 = 22048837304832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320309) 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 15 ways as a sum of consecutive naturals, for example, 10452 + ... + 10764.

Almost surely, 23320304 is an apocalyptic number.

3320304 is a gapful number since it is divisible by the number (34) 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 3320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905936).

3320304 is an abundant number, since it is smaller than the sum of its proper divisors (6491568).

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

3320304 is a wasteful number, since it uses less digits than its factorization.

3320304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3320304 is about 1822.1701347569. The cubic root of 3320304 is about 149.1852716859.

Adding to 3320304 its reverse (4030233), we get a palindrome (7350537).

The spelling of 3320304 in words is "three million, three hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 313 408 442 624 626 663 816 884 939 1252 1326 1768 1878 2504 2652 3536 3756 4069 5008 5304 5321 7512 8138 10608 10642 12207 15024 15963 16276 21284 24414 31926 32552 42568 48828 63852 65104 69173 85136 97656 127704 138346 195312 207519 255408 276692 415038 553384 830076 1106768 1660152 3320304