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3342104304 = 2437112931181
BaseRepresentation
bin1100011100110100…
…0111011011110000
322121220202111012220
43013031013123300
523321034314204
61311344521040
7145551263220
oct30715073360
98556674186
103342104304
111465592480
12793320180
13413534916
14239c1a080
1514861d1d9
hexc73476f0

3342104304 has 160 divisors (see below), whose sum is σ = 11135715840. Its totient is φ = 838118400.

The previous prime is 3342104303. The next prime is 3342104317. The reversal of 3342104304 is 4034012433.

It is a super-2 number, since 2×33421043042 = 22339322357630648832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342104303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91594 + ... + 122774.

It is an arithmetic number, because the mean of its divisors is an integer number (69598224).

Almost surely, 23342104304 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 3342104304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567857920).

3342104304 is an abundant number, since it is smaller than the sum of its proper divisors (7793611536).

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

3342104304 is a wasteful number, since it uses less digits than its factorization.

3342104304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31239 (or 31233 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3342104304 is about 57810.9358512730. The cubic root of 3342104304 is about 1495.1106436681.

Adding to 3342104304 its reverse (4034012433), we get a palindrome (7376116737).

The spelling of 3342104304 in words is "three billion, three hundred forty-two million, one hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 132 154 168 174 176 203 231 232 264 308 319 336 348 406 462 464 528 609 616 638 696 812 924 957 1218 1232 1276 1392 1624 1848 1914 2233 2436 2552 3248 3696 3828 4466 4872 5104 6699 7656 8932 9744 13398 15312 17864 26796 31181 35728 53592 62362 93543 107184 124724 187086 218267 249448 342991 374172 436534 498896 654801 685982 748344 873068 904249 1028973 1309602 1371964 1496688 1746136 1808498 2057946 2400937 2619204 2712747 2743928 3492272 3616996 4115892 4801874 5238408 5425494 5487856 6329743 7202811 7233992 8231784 9603748 9946739 10476816 10850988 12659486 14405622 14467984 16463568 18989229 19207496 19893478 21701976 25318972 28811244 29840217 37978458 38414992 39786956 43403952 50637944 57622488 59680434 69627173 75956916 79573912 101275888 115244976 119360868 139254346 151913832 159147824 208881519 238721736 278508692 303827664 417763038 477443472 557017384 835526076 1114034768 1671052152 3342104304