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3340474101 = 38712101
BaseRepresentation
bin1100011100011011…
…1001011011110101
322121210200200000000
43013012321123311
523320130132401
61311245541513
7145531363356
oct30706713365
98553620000
103340474101
1114646796a8
12792874899
134130b38c3
14239913d2d
151483ea186
hexc71b96f5

3340474101 has 54 divisors (see below), whose sum is σ = 5132337366. Its totient is φ = 2173878000.

The previous prime is 3340474097. The next prime is 3340474133. The reversal of 3340474101 is 1014740433.

It can be written as a sum of positive squares in only one way, i.e., 3307400100 + 33074001 = 57510^2 + 5751^2 .

It is not a de Polignac number, because 3340474101 - 22 = 3340474097 is a prime.

It is a super-2 number, since 2×33404741012 = 22317534438903516402, 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 (3340474201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 33073951 + ... + 33074051.

Almost surely, 23340474101 is an apocalyptic number.

It is an amenable number.

3340474101 is a deficient number, since it is larger than the sum of its proper divisors (1791863265).

3340474101 is an frugal number, since it uses more digits than its factorization.

3340474101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3340474101 is about 57796.8346970662. The cubic root of 3340474101 is about 1494.8675103970.

The spelling of 3340474101 in words is "three billion, three hundred forty million, four hundred seventy-four thousand, one hundred one".

Divisors: 1 3 9 27 71 81 101 213 243 303 639 729 909 1917 2187 2727 5041 5751 6561 7171 8181 15123 17253 21513 24543 45369 51759 64539 73629 136107 155277 193617 220887 408321 465831 509141 580851 662661 1224963 1527423 1742553 3674889 4582269 5227659 11024667 13746807 15682977 33074001 41240421 47048931 123721263 371163789 1113491367 3340474101