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73034929 = 1137311577
BaseRepresentation
bin1000101101001…
…10110010110001
312002102120002101
410112212302301
5122144104204
611125220401
71544533552
oct426466261
9162376071
1073034929
1138254250
1220561701
1312192046
1499b2329
156629ea4
hex45a6cb1

73034929 has 16 divisors (see below), whose sum is σ = 82233216. Its totient is φ = 64281600.

The previous prime is 73034869. The next prime is 73034933. The reversal of 73034929 is 92943037.

It is a cyclic number.

It is not a de Polignac number, because 73034929 - 29 = 73034417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73034939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126289 + ... + 126865.

It is an arithmetic number, because the mean of its divisors is an integer number (5139576).

Almost surely, 273034929 is an apocalyptic number.

It is an amenable number.

73034929 is a deficient number, since it is larger than the sum of its proper divisors (9198287).

73034929 is a wasteful number, since it uses less digits than its factorization.

73034929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 73034929 is about 8546.0475659804. The cubic root of 73034929 is about 418.0005666071. Note that the first 3 decimals are identical.

The spelling of 73034929 in words is "seventy-three million, thirty-four thousand, nine hundred twenty-nine".

Divisors: 1 11 37 311 407 577 3421 6347 11507 21349 126577 179447 234839 1973917 6639539 73034929