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334201608 = 2332132771289
BaseRepresentation
bin10011111010111…
…000001100001000
3212021212012102100
4103322320030020
51141023422413
653055033400
711165444466
oct2372701410
9767765370
10334201608
11161714684
1293b0b860
1354314340
1432557836
151e517a73
hex13eb8308

334201608 has 96 divisors (see below), whose sum is σ = 979032600. Its totient is φ = 102380544.

The previous prime is 334201603. The next prime is 334201613. The reversal of 334201608 is 806102433.

It is a happy number.

334201608 is a `hidden beast` number, since 3 + 34 + 20 + 1 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (334201603) and next prime (334201613).

It can be written as a sum of positive squares in 4 ways, for example, as 228070404 + 106131204 = 15102^2 + 10302^2 .

It is a super-2 number, since 2×3342016082 = 223381429579571328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334201601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 258628 + ... + 259916.

Almost surely, 2334201608 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 334201608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489516300).

334201608 is an abundant number, since it is smaller than the sum of its proper divisors (644830992).

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

334201608 is a wasteful number, since it uses less digits than its factorization.

334201608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 334201608 is about 18281.1817998728. The cubic root of 334201608 is about 693.9627804095.

The spelling of 334201608 in words is "three hundred thirty-four million, two hundred one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 277 312 468 554 831 936 1108 1289 1662 2216 2493 2578 3324 3601 3867 4986 5156 6648 7202 7734 9972 10312 10803 11601 14404 15468 16757 19944 21606 23202 28808 30936 32409 33514 43212 46404 50271 64818 67028 86424 92808 100542 129636 134056 150813 201084 259272 301626 357053 402168 603252 714106 1071159 1206504 1428212 2142318 2856424 3213477 4284636 4641689 6426954 8569272 9283378 12853908 13925067 18566756 25707816 27850134 37133512 41775201 55700268 83550402 111400536 167100804 334201608