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34296447249 = 36196
BaseRepresentation
bin11111111100001110…
…100100000100010001
310021112011211001000000
4133330032210010101
51030214342302444
623431111520213
72322616664061
oct377416440421
9107464731000
1034296447249
11135aa4a5489
126791989069
13330753c48c
141934cc93a1
15d5ae0a469
hex7fc3a4111

34296447249 has 49 divisors (see below), whose sum is σ = 54277878313. Its totient is φ = 21660914052.

The previous prime is 34296447239. The next prime is 34296447299. The reversal of 34296447249 is 94274469243.

The square root of 34296447249 is 185193.

The cubic root of 34296447249 is 3249.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

34296447249 is a `hidden beast` number, since 3 + 42 + 96 + 4 + 472 + 49 = 666.

It is not a de Polignac number, because 34296447249 - 231 = 32148963601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34296447195 and 34296447204.

It is not an unprimeable number, because it can be changed into a prime (34296447239) 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 48 ways as a sum of consecutive naturals, for example, 1805076162 + ... + 1805076180.

Almost surely, 234296447249 is an apocalyptic number.

34296447249 is the 185193-rd square number.

34296447249 is the 92597-th centered octagonal number.

It is an amenable number.

34296447249 is a deficient number, since it is larger than the sum of its proper divisors (19981431064).

34296447249 is an frugal number, since it uses more digits than its factorization.

34296447249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 22 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 34296447249 in words is "thirty-four billion, two hundred ninety-six million, four hundred forty-seven thousand, two hundred forty-nine".

Divisors: 1 3 9 19 27 57 81 171 243 361 513 729 1083 1539 3249 4617 6859 9747 13851 20577 29241 61731 87723 130321 185193 263169 390963 555579 1172889 1666737 2476099 3518667 5000211 7428297 10556001 22284891 31668003 47045881 66854673 95004009 141137643 200564019 423412929 601692057 1270238787 1805076171 3810716361 11432149083 34296447249