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67073313 = 31723211271
BaseRepresentation
bin1111111111011…
…1010100100001
311200012200021210
43333313110201
5114132321223
610353340333
71443054006
oct377672441
9150180253
1067073313
113495219a
121a5676a9
1310b85668
148c9d8ad
155d4d893
hex3ff7521

67073313 has 32 divisors (see below), whose sum is σ = 99643392. Its totient is φ = 39916800.

The previous prime is 67073309. The next prime is 67073323. The reversal of 67073313 is 31337076.

It is not a de Polignac number, because 67073313 - 22 = 67073309 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (67073323) 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 31 ways as a sum of consecutive naturals, for example, 247368 + ... + 247638.

It is an arithmetic number, because the mean of its divisors is an integer number (3113856).

Almost surely, 267073313 is an apocalyptic number.

It is an amenable number.

67073313 is a deficient number, since it is larger than the sum of its proper divisors (32570079).

67073313 is a wasteful number, since it uses less digits than its factorization.

67073313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 7938, while the sum is 30.

The square root of 67073313 is about 8189.8298517124. The cubic root of 67073313 is about 406.3028974749.

The spelling of 67073313 in words is "sixty-seven million, seventy-three thousand, three hundred thirteen".

Divisors: 1 3 17 23 51 69 211 271 391 633 813 1173 3587 4607 4853 6233 10761 13821 14559 18699 57181 82501 105961 171543 247503 317883 972077 1315163 2916231 3945489 22357771 67073313