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3416263347 = 3723531131181
BaseRepresentation
bin1100101110100000…
…0000101010110011
322211002022011022010
43023220000222303
523444030411342
61322554214003
7150441521310
oct31350005263
98732264263
103416263347
1114a3434242
127b4124303
134259cb503
14245a01d07
1514edbb29c
hexcba00ab3

3416263347 has 64 divisors (see below), whose sum is σ = 5588269056. Its totient is φ = 1814292480.

The previous prime is 3416263303. The next prime is 3416263349. The reversal of 3416263347 is 7433626143.

It is not a de Polignac number, because 3416263347 - 28 = 3416263091 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (3416263349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2892097 + ... + 2893277.

It is an arithmetic number, because the mean of its divisors is an integer number (87316704).

Almost surely, 23416263347 is an apocalyptic number.

3416263347 is a deficient number, since it is larger than the sum of its proper divisors (2172005709).

3416263347 is a wasteful number, since it uses less digits than its factorization.

3416263347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380.

The product of its digits is 217728, while the sum is 39.

The square root of 3416263347 is about 58448.8096285972. The cubic root of 3416263347 is about 1506.0883430625.

The spelling of 3416263347 in words is "three billion, four hundred sixteen million, two hundred sixty-three thousand, three hundred forty-seven".

Divisors: 1 3 7 21 23 53 69 113 159 161 339 371 483 791 1113 1181 1219 2373 2599 3543 3657 5989 7797 8267 8533 17967 18193 24801 25599 27163 41923 54579 62593 81489 125769 133453 137747 187779 190141 400359 413241 438151 570423 934171 964229 1314453 1439639 2802513 2892687 3069419 4318917 7073009 9208257 10077473 21219027 21485933 30232419 49511063 64457799 148533189 162679207 488037621 1138754449 3416263347