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3368304 = 243423113
BaseRepresentation
bin1100110110010101110000
320100010110000
430312111300
51330241204
6200110000
740426062
oct14662560
96303400
103368304
1119a0725
121165300
1390c1a4
14639732
15468039
hex336570

3368304 has 100 divisors (see below), whose sum is σ = 10262736. Its totient is φ = 1064448.

The previous prime is 3368303. The next prime is 3368317. The reversal of 3368304 is 4038633.

3368304 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33683042 = 22690943672832, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368303) 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 19 ways as a sum of consecutive naturals, for example, 29752 + ... + 29864.

Almost surely, 23368304 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 3368304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131368).

3368304 is an abundant number, since it is smaller than the sum of its proper divisors (6894432).

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

3368304 is a wasteful number, since it uses less digits than its factorization.

3368304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3368304 is about 1835.2939819004. The cubic root of 3368304 is about 149.9007343233.

The spelling of 3368304 in words is "three million, three hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 113 138 144 162 184 207 216 226 276 324 339 368 414 432 452 552 621 648 678 828 904 1017 1104 1242 1296 1356 1656 1808 1863 2034 2484 2599 2712 3051 3312 3726 4068 4968 5198 5424 6102 7452 7797 8136 9153 9936 10396 12204 14904 15594 16272 18306 20792 23391 24408 29808 31188 36612 41584 46782 48816 62376 70173 73224 93564 124752 140346 146448 187128 210519 280692 374256 421038 561384 842076 1122768 1684152 3368304