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67313349 = 344120269
BaseRepresentation
bin1000000001100…
…01111011000101
311200122212120000
410000301323011
5114213011344
610402431513
71445103555
oct400617305
9150585500
1067313349
1134aa6574
121a662599
1310c3a9ac
148d23165
155d99a69
hex4031ec5

67313349 has 20 divisors (see below), whose sum is σ = 103012140. Its totient is φ = 43778880.

The previous prime is 67313329. The next prime is 67313377. The reversal of 67313349 is 94331376.

It can be written as a sum of positive squares in 2 ways, for example, as 24502500 + 42810849 = 4950^2 + 6543^2 .

It is not a de Polignac number, because 67313349 - 28 = 67313093 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67313329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6814 + ... + 13455.

It is an arithmetic number, because the mean of its divisors is an integer number (5150607).

Almost surely, 267313349 is an apocalyptic number.

It is an amenable number.

67313349 is a deficient number, since it is larger than the sum of its proper divisors (35698791).

67313349 is a wasteful number, since it uses less digits than its factorization.

67313349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20322 (or 20313 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 67313349 is about 8204.4712809541. The cubic root of 67313349 is about 406.7870006549.

The spelling of 67313349 in words is "sixty-seven million, three hundred thirteen thousand, three hundred forty-nine".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 20269 60807 182421 547263 831029 1641789 2493087 7479261 22437783 67313349