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34664105 = 5717223149
BaseRepresentation
bin1000010000111…
…0111010101001
32102020010012202
42010032322221
532333222410
63234545545
7600432350
oct204167251
972203182
1034664105
1118626723
12b7382b5
137248c08
144864997
15309aca5
hex210eea9

34664105 has 48 divisors (see below), whose sum is σ = 53049600. Its totient is φ = 21255168.

The previous prime is 34664101. The next prime is 34664129. The reversal of 34664105 is 50146643.

It is a happy number.

It is not a de Polignac number, because 34664105 - 22 = 34664101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34664101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232571 + ... + 232719.

It is an arithmetic number, because the mean of its divisors is an integer number (1105200).

Almost surely, 234664105 is an apocalyptic number.

34664105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34664105 is a deficient number, since it is larger than the sum of its proper divisors (18385495).

34664105 is a wasteful number, since it uses less digits than its factorization.

34664105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 34664105 is about 5887.6230348079. The cubic root of 34664105 is about 326.0568514648.

The spelling of 34664105 in words is "thirty-four million, six hundred sixty-four thousand, one hundred five".

Divisors: 1 5 7 17 23 35 85 115 119 149 161 289 391 595 745 805 1043 1445 1955 2023 2533 2737 3427 5215 6647 10115 12665 13685 17135 17731 23989 33235 43061 46529 58259 88655 119945 215305 232645 291295 301427 407813 990403 1507135 2039065 4952015 6932821 34664105