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532341144 = 23326121987
BaseRepresentation
bin11111101110101…
…110000110011000
31101002200201202200
4133232232012120
52042234404034
6124453530200
716122552666
oct3756560630
91332621680
10532341144
11253546865
1212a343960
138639987a
14509b3c36
1531b05a99
hex1fbae198

532341144 has 72 divisors (see below), whose sum is σ = 1466517780. Its totient is φ = 174450240.

The previous prime is 532341113. The next prime is 532341149. The reversal of 532341144 is 441143235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532341149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 266919 + ... + 268905.

Almost surely, 2532341144 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 532341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733258890).

532341144 is an abundant number, since it is smaller than the sum of its proper divisors (934176636).

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

532341144 is a wasteful number, since it uses less digits than its factorization.

532341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2053 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 532341144 is about 23072.5192382626. The cubic root of 532341144 is about 810.4570625730.

Adding to 532341144 its reverse (441143235), we get a palindrome (973484379).

The spelling of 532341144 in words is "five hundred thirty-two million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 1987 2196 3721 3974 4392 5961 7442 7948 11163 11922 14884 15896 17883 22326 23844 29768 33489 35766 44652 47688 66978 71532 89304 121207 133956 143064 242414 267912 363621 484828 727242 969656 1090863 1454484 2181726 2908968 4363452 7393627 8726904 14787254 22180881 29574508 44361762 59149016 66542643 88723524 133085286 177447048 266170572 532341144