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71344 = 247313
BaseRepresentation
bin10001011010110000
310121212101
4101122300
54240334
61310144
7415000
oct213260
9117771
1071344
1149669
1235354
1326620
141c000
1516214
hex116b0

71344 has 40 divisors (see below), whose sum is σ = 173600. Its totient is φ = 28224.

The previous prime is 71341. The next prime is 71347. The reversal of 71344 is 44317.

It is a happy number.

71344 is nontrivially palindromic in base 3.

71344 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (71341) and next prime (71347).

Its product of digits (336) is a multiple of the sum of its prime factors (42).

It is not an unprimeable number, because it can be changed into a prime (71341) 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, 5482 + ... + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

271344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800).

71344 is an abundant number, since it is smaller than the sum of its proper divisors (102256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71344 is a wasteful number, since it uses less digits than its factorization.

71344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The square root of 71344 is about 267.1029763967. The cubic root of 71344 is about 41.4749449577.

It can be divided in two parts, 713 and 44, that added together give a palindrome (757).

The spelling of 71344 in words is "seventy-one thousand, three hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 637 686 728 784 1274 1372 1456 2548 2744 4459 5096 5488 8918 10192 17836 35672 71344