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83444 = 2223907
BaseRepresentation
bin10100010111110100
311020110112
4110113310
510132234
61442152
7465164
oct242764
9136415
1083444
1157769
1240358
132bc9a
14225a4
1519ace
hex145f4

83444 has 12 divisors (see below), whose sum is σ = 152544. Its totient is φ = 39864.

The previous prime is 83443. The next prime is 83449. The reversal of 83444 is 44438.

It is a super-2 number, since 2×834442 = 13925802272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83444.

It is not an unprimeable number, because it can be changed into a prime (83443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (12712).

283444 is an apocalyptic number.

It is an amenable number.

83444 is a deficient number, since it is larger than the sum of its proper divisors (69100).

83444 is a wasteful number, since it uses less digits than its factorization.

83444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 932 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 83444 is about 288.8667512885. The cubic root of 83444 is about 43.6983499317.

It can be divided in two parts, 834 and 44, that added together give a palindrome (878).

The spelling of 83444 in words is "eighty-three thousand, four hundred forty-four".

Divisors: 1 2 4 23 46 92 907 1814 3628 20861 41722 83444