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214035341 = 1329219577
BaseRepresentation
bin11001100000111…
…10101110001101
3112220202010021212
430300132232031
5414243112331
633123304205
75206161512
oct1460365615
9486663255
10214035341
11aa8a9a13
125b81b065
133545c840
14205d7309
1513bccd2b
hexcc1eb8d

214035341 has 12 divisors (see below), whose sum is σ = 238734132. Its totient is φ = 190748544.

The previous prime is 214035329. The next prime is 214035373. The reversal of 214035341 is 143530412.

It can be written as a sum of positive squares in 6 ways, for example, as 2449225 + 211586116 = 1565^2 + 14546^2 .

It is not a de Polignac number, because 214035341 - 26 = 214035277 is a prime.

It is a super-4 number, since 4×2140353414 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214035301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1145 + ... + 20721.

It is an arithmetic number, because the mean of its divisors is an integer number (19894511).

Almost surely, 2214035341 is an apocalyptic number.

It is an amenable number.

214035341 is a deficient number, since it is larger than the sum of its proper divisors (24698791).

214035341 is a wasteful number, since it uses less digits than its factorization.

214035341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19648 (or 19619 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 214035341 is about 14629.9467189734. The cubic root of 214035341 is about 598.1753278741.

Adding to 214035341 its reverse (143530412), we get a palindrome (357565753).

The spelling of 214035341 in words is "two hundred fourteen million, thirty-five thousand, three hundred forty-one".

Divisors: 1 13 29 377 841 10933 19577 254501 567733 7380529 16464257 214035341