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78349 = 471667
BaseRepresentation
bin10011001000001101
310222110211
4103020031
510001344
61402421
7444265
oct231015
9128424
1078349
1153957
1239411
132987b
14207a5
1518334
hex1320d

78349 has 4 divisors (see below), whose sum is σ = 80064. Its totient is φ = 76636.

The previous prime is 78347. The next prime is 78367. The reversal of 78349 is 94387.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 94387 = 372551.

It is a cyclic number.

It is not a de Polignac number, because 78349 - 21 = 78347 is a prime.

It is a super-2 number, since 2×783492 = 12277131602, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 74 + 83 + 3 + 47 + 95 .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 787 + ... + 880.

It is an arithmetic number, because the mean of its divisors is an integer number (20016).

278349 is an apocalyptic number.

It is an amenable number.

78349 is a deficient number, since it is larger than the sum of its proper divisors (1715).

78349 is a wasteful number, since it uses less digits than its factorization.

78349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714.

The product of its digits is 6048, while the sum is 31.

The square root of 78349 is about 279.9089137559. The cubic root of 78349 is about 42.7902167059.

The spelling of 78349 in words is "seventy-eight thousand, three hundred forty-nine".

Divisors: 1 47 1667 78349