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34900943 = 7111572887
BaseRepresentation
bin1000010100100…
…0101111001111
32102200011002112
42011020233033
532413312233
63244014235
7602440010
oct205105717
972604075
1034900943
1118778660
12b83137b
1372cc95c
1448c7007
1530e6048
hex2148bcf

34900943 has 16 divisors (see below), whose sum is σ = 43805184. Its totient is φ = 27012960.

The previous prime is 34900937. The next prime is 34900951.

34900943 is nontrivially palindromic in base 10.

34900943 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34900943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34903943) 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, 10646 + ... + 13532.

It is an arithmetic number, because the mean of its divisors is an integer number (2737824).

Almost surely, 234900943 is an apocalyptic number.

34900943 is a deficient number, since it is larger than the sum of its proper divisors (8904241).

34900943 is a wasteful number, since it uses less digits than its factorization.

34900943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062.

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

The square root of 34900943 is about 5907.7020067028. The cubic root of 34900943 is about 326.7977470385.

The spelling of 34900943 in words is "thirty-four million, nine hundred thousand, nine hundred forty-three".

Divisors: 1 7 11 77 157 1099 1727 2887 12089 20209 31757 222299 453259 3172813 4985849 34900943