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535344 = 24319587
BaseRepresentation
bin10000010101100110000
31000012100120
42002230300
5114112334
615250240
74356525
oct2025460
91005316
10535344
11336237
12219980
13159894
14dd14c
15a8949
hex82b30

535344 has 40 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 168768.

The previous prime is 535333. The next prime is 535349. The reversal of 535344 is 443535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (535349) 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, 619 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2535344 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 535344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).

535344 is an abundant number, since it is smaller than the sum of its proper divisors (922896).

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

535344 is a wasteful number, since it uses less digits than its factorization.

535344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its digits is 3600, while the sum is 24.

The square root of 535344 is about 731.6720576870. The cubic root of 535344 is about 81.1978094809.

Adding to 535344 its reverse (443535), we get a palindrome (978879).

Subtracting from 535344 its reverse (443535), we obtain a square (91809 = 3032).

It can be divided in two parts, 5353 and 44, that multiplied together give a palindrome (235532).

The spelling of 535344 in words is "five hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 587 912 1174 1761 2348 3522 4696 7044 9392 11153 14088 22306 28176 33459 44612 66918 89224 133836 178448 267672 535344