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3342104430 = 235749132413
BaseRepresentation
bin1100011100110100…
…0111011101101110
322121220202111101120
43013031013131232
523321034320210
61311344521410
7145551263460
oct30715073556
98556674346
103342104430
111465592585
12793320266
134135349b2
14239c1a130
1514861d270
hexc734776e

3342104430 has 64 divisors (see below), whose sum is σ = 9185868288. Its totient is φ = 762330240.

The previous prime is 3342104399. The next prime is 3342104453. The reversal of 3342104430 is 344012433.

It is a super-2 number, since 2×33421044302 = 22339324042051249800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3342104430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86904 + ... + 119316.

It is an arithmetic number, because the mean of its divisors is an integer number (143529192).

Almost surely, 23342104430 is an apocalyptic number.

3342104430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342104430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592934144).

3342104430 is an abundant number, since it is smaller than the sum of its proper divisors (5843763858).

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

3342104430 is a wasteful number, since it uses less digits than its factorization.

3342104430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32921.

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

The square root of 3342104430 is about 57810.9369410322. The cubic root of 3342104430 is about 1495.1106624571.

Adding to 3342104430 its reverse (344012433), we get a palindrome (3686116863).

The spelling of 3342104430 in words is "three billion, three hundred forty-two million, one hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 491 982 1473 2455 2946 3437 4910 6874 7365 10311 14730 17185 20622 32413 34370 51555 64826 97239 103110 162065 194478 226891 324130 453782 486195 680673 972390 1134455 1361346 2268910 3403365 6806730 15914783 31829566 47744349 79573915 95488698 111403481 159147830 222806962 238721745 334210443 477443490 557017405 668420886 1114034810 1671052215 3342104430