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7345 = 513113
BaseRepresentation
bin1110010110001
3101002001
41302301
5213340
654001
730262
oct16261
911061
107345
115578
124301
133460
142969
15229a
hex1cb1

7345 has 8 divisors (see below), whose sum is σ = 9576. Its totient is φ = 5376.

The previous prime is 7333. The next prime is 7349. The reversal of 7345 is 5437.

7345 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 7056 = 17^2 + 84^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7345 - 29 = 6833 is a prime.

It is a Duffinian number.

7345 is a lucky number.

It is a plaindrome in base 11 and base 15.

It is not an unprimeable number, because it can be changed into a prime (7349) 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 7 ways as a sum of consecutive naturals, for example, 9 + ... + 121.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

It is an amenable number.

7345 is a deficient number, since it is larger than the sum of its proper divisors (2231).

7345 is a wasteful number, since it uses less digits than its factorization.

7345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its digits is 420, while the sum is 19.

The square root of 7345 is about 85.7029754443. The cubic root of 7345 is about 19.4385530148.

It can be divided in two parts, 7 and 345, that multiplied together give a triangular number (2415 = T69).

The spelling of 7345 in words is "seven thousand, three hundred forty-five".

Divisors: 1 5 13 65 113 565 1469 7345