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63324 = 22321759
BaseRepresentation
bin1111011101011100
310012212100
433131130
54011244
61205100
7352422
oct173534
9105770
1063324
1143638
1230790
1322a91
1419112
1513b69
hexf75c

63324 has 18 divisors (see below), whose sum is σ = 160160. Its totient is φ = 21096.

The previous prime is 63317. The next prime is 63331. The reversal of 63324 is 42336.

It is an interprime number because it is at equal distance from previous prime (63317) and next prime (63331).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 62 + 37 + 310 + 211 + 4 .

It is a junction number, because it is equal to n+sod(n) for n = 63297 and 63306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 844 + ... + 915.

263324 is an apocalyptic number.

It is an amenable number.

63324 is an abundant number, since it is smaller than the sum of its proper divisors (96836).

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

63324 is a wasteful number, since it uses less digits than its factorization.

63324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1764 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 63324 is about 251.6426037061. The cubic root of 63324 is about 39.8586678856.

It can be divided in two parts, 6332 and 4, that added together give a palindrome (6336).

The spelling of 63324 in words is "sixty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1759 3518 5277 7036 10554 15831 21108 31662 63324