Search a number
34441 = 1131101
BaseRepresentation
bin1000011010001001
31202020121
420122021
52100231
6423241
7202261
oct103211
952217
1034441
1123970
1217b21
13128a4
14c7a1
15a311
hex8689

34441 has 8 divisors (see below), whose sum is σ = 39168. Its totient is φ = 30000.

The previous prime is 34439. The next prime is 34457. The reversal of 34441 is 14443.

Adding to 34441 its reverse (14443), we get a palindrome (48884).

It can be divided in two parts, 3 and 4441, that added together give a palindrome (4444).

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

It is a 4-Lehmer number, since φ(34441) divides (34441-1)4.

It is a cyclic number.

It is not a de Polignac number, because 34441 - 21 = 34439 is a prime.

It is a deceptive number, since it divides R34440.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (34421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (4896).

234441 is an apocalyptic number.

34441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34441 is a deficient number, since it is larger than the sum of its proper divisors (4727).

34441 is a wasteful number, since it uses less digits than its factorization.

34441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143.

The product of its digits is 192, while the sum is 16.

The square root of 34441 is about 185.5828655884. The cubic root of 34441 is about 32.5355823306.

The spelling of 34441 in words is "thirty-four thousand, four hundred forty-one".

Divisors: 1 11 31 101 341 1111 3131 34441