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3402334404 = 2232722966509
BaseRepresentation
bin1100101011001011…
…1000000011000100
322210010002111101100
43022302320003010
523431444200104
61321335500100
7150212236200
oct31262700304
98703074340
103402334404
111496590217
127ab527630
13422b62531
14243c17b00
1514da69139
hexcacb80c4

3402334404 has 108 divisors (see below), whose sum is σ = 10349621100. Its totient is φ = 938560896.

The previous prime is 3402334387. The next prime is 3402334471. The reversal of 3402334404 is 4044332043.

It can be written as a sum of positive squares in 2 ways, for example, as 2394144900 + 1008189504 = 48930^2 + 31752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17902 + ... + 84410.

It is an arithmetic number, because the mean of its divisors is an integer number (95829825).

Almost surely, 23402334404 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 3402334404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174810550).

3402334404 is an abundant number, since it is smaller than the sum of its proper divisors (6947286696).

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

3402334404 is a wasteful number, since it uses less digits than its factorization.

3402334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66562 (or 66550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3402334404 is about 58329.5328628646. The cubic root of 3402334404 is about 1504.0386577367.

Adding to 3402334404 its reverse (4044332043), we get a palindrome (7446666447).

The spelling of 3402334404 in words is "three billion, four hundred two million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 12789 17052 25578 51156 66509 133018 199527 266036 399054 465563 598581 798108 931126 1197162 1396689 1862252 1928761 2394324 2793378 3258941 3857522 4190067 5586756 5786283 6517882 7715044 8380134 9776823 11572566 13035764 13501327 16760268 17358849 19553646 23145132 27002654 29330469 34717698 39107292 40503981 54005308 58660938 69435396 81007962 94509289 117321876 121511943 162015924 189018578 243023886 283527867 378037156 486047772 567055734 850583601 1134111468 1701167202 3402334404