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3340134117 = 3361113131137
BaseRepresentation
bin1100011100010110…
…0110011011100101
322121210001101122000
43013011212123211
523320033242432
61311234355513
7145525446225
oct30705463345
98553041560
103340134117
111464467221
1279272bb99
13412cc4c28
14239866085
1514837e57c
hexc71666e5

3340134117 has 64 divisors (see below), whose sum is σ = 5150027520. Its totient is φ = 2138572800.

The previous prime is 3340134113. The next prime is 3340134121. The reversal of 3340134117 is 7114310433.

It is an interprime number because it is at equal distance from previous prime (3340134113) and next prime (3340134121).

It is not a de Polignac number, because 3340134117 - 22 = 3340134113 is a prime.

It is a super-2 number, since 2×33401341172 = 22312991839094739378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340134113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24380473 + ... + 24380609.

It is an arithmetic number, because the mean of its divisors is an integer number (80469180).

Almost surely, 23340134117 is an apocalyptic number.

It is an amenable number.

3340134117 is a deficient number, since it is larger than the sum of its proper divisors (1809893403).

3340134117 is a wasteful number, since it uses less digits than its factorization.

3340134117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3340134117 is about 57793.8934230945. The cubic root of 3340134117 is about 1494.8167942148.

The spelling of 3340134117 in words is "three billion, three hundred forty million, one hundred thirty-four thousand, one hundred seventeen".

Divisors: 1 3 9 27 61 113 131 137 183 339 393 411 549 1017 1179 1233 1647 3051 3537 3699 6893 7991 8357 14803 15481 17947 20679 23973 25071 44409 46443 53841 62037 71919 75213 133227 139329 161523 186111 215757 225639 399681 417987 484569 902983 944341 1094767 2028011 2708949 2833023 3284301 6084033 8126847 8499069 9852903 18252099 24380541 25497207 29558709 54756297 123708671 371126013 1113378039 3340134117