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3130467417 = 32711192310337
BaseRepresentation
bin1011101010010111…
…0010010001011001
322002011112012222200
42322211302101121
522402344424132
61234344440413
7140401351110
oct27245622131
98064465880
103130467417
111367081560
12734479109
133ab7349ac
14219a88c77
15134c65d7c
hexba972459

3130467417 has 96 divisors (see below), whose sum is σ = 6192875520. Its totient is φ = 1473500160.

The previous prime is 3130467413. The next prime is 3130467443. The reversal of 3130467417 is 7147640313.

3130467417 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 3130467417 - 22 = 3130467413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3130467413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297673 + ... + 308009.

It is an arithmetic number, because the mean of its divisors is an integer number (64509120).

Almost surely, 23130467417 is an apocalyptic number.

It is an amenable number.

3130467417 is a deficient number, since it is larger than the sum of its proper divisors (3062408103).

3130467417 is a wasteful number, since it uses less digits than its factorization.

3130467417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3130467417 is about 55950.5801310406. The cubic root of 3130467417 is about 1462.8610029714.

The spelling of 3130467417 in words is "three billion, one hundred thirty million, four hundred sixty-seven thousand, four hundred seventeen".

Divisors: 1 3 7 9 11 19 21 23 33 57 63 69 77 99 133 161 171 207 209 231 253 399 437 483 627 693 759 1197 1311 1449 1463 1771 1881 2277 3059 3933 4389 4807 5313 9177 10337 13167 14421 15939 27531 31011 33649 43263 72359 93033 100947 113707 196403 217077 237751 302841 341121 589209 651231 713253 795949 1023363 1374821 1664257 1767627 2139759 2160433 2387847 2615261 4124463 4517269 4992771 6481299 7163541 7845783 12373389 13551807 14978313 15123031 18306827 19443897 23537349 31620883 40655421 45369093 49689959 54920481 94862649 136107279 149069877 164761443 284587947 347829713 447209631 1043489139 3130467417