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423324 = 2232111069
BaseRepresentation
bin1100111010110011100
3210111200200
41213112130
5102021244
613023500
73412116
oct1472634
9714620
10423324
1126a060
12184b90
1311a8b5
14b03b6
1585669
hex6759c

423324 has 36 divisors (see below), whose sum is σ = 1168440. Its totient is φ = 128160.

The previous prime is 423323. The next prime is 423341.

423324 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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 junction number, because it is equal to n+sod(n) for n = 423297 and 423306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 139 + ... + 930.

2423324 is an apocalyptic number.

423324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584220).

423324 is an abundant number, since it is smaller than the sum of its proper divisors (745116).

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

423324 is a wasteful number, since it uses less digits than its factorization.

423324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1085 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 423324 is about 650.6335374080. The cubic root of 423324 is about 75.0857685460.

It can be divided in two parts, 423 and 324, that added together give a palindrome (747).

The spelling of 423324 in words is "four hundred twenty-three thousand, three hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1069 2138 3207 4276 6414 9621 11759 12828 19242 23518 35277 38484 47036 70554 105831 141108 211662 423324