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34109663 = 741157757
BaseRepresentation
bin1000001000011…
…1100011011111
32101011221122212
42002013203133
532213002123
63215031035
7562633040
oct202074337
971157585
1034109663
1118288105
12b50b47b
1370b3743
14475c8c7
152edb878
hex20878df

34109663 has 16 divisors (see below), whose sum is σ = 40240704. Its totient is φ = 28304640.

The previous prime is 34109657. The next prime is 34109681. The reversal of 34109663 is 36690143.

It is a happy number.

34109663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34109663 - 210 = 34108639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34109623) 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 15 ways as a sum of consecutive naturals, for example, 44681 + ... + 45437.

It is an arithmetic number, because the mean of its divisors is an integer number (2515044).

Almost surely, 234109663 is an apocalyptic number.

34109663 is a deficient number, since it is larger than the sum of its proper divisors (6131041).

34109663 is a wasteful number, since it uses less digits than its factorization.

34109663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962.

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 34109663 is about 5840.3478492295. The cubic root of 34109663 is about 324.3091058887.

The spelling of 34109663 in words is "thirty-four million, one hundred nine thousand, six hundred sixty-three".

Divisors: 1 7 41 157 287 757 1099 5299 6437 31037 45059 118849 217259 831943 4872809 34109663