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423040 = 275661
BaseRepresentation
bin1100111010010000000
3210111022011
41213102000
5102014130
613022304
73411232
oct1472200
9714264
10423040
11269922
12184994
1311a727
14b0252
158552a
hex67480

423040 has 32 divisors (see below), whose sum is σ = 1012860. Its totient is φ = 168960.

The previous prime is 423019. The next prime is 423043. The reversal of 423040 is 40324.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 3136 = 648^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 423040.

It is not an unprimeable number, because it can be changed into a prime (423043) 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 3 ways as a sum of consecutive naturals, for example, 310 + ... + 970.

2423040 is an apocalyptic number.

423040 is a gapful number since it is divisible by the number (40) 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 423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506430).

423040 is an abundant number, since it is smaller than the sum of its proper divisors (589820).

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

423040 is an equidigital number, since it uses as much as digits as its factorization.

423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 423040 is about 650.4152519737. The cubic root of 423040 is about 75.0689735862.

Adding to 423040 its reverse (40324), we get a palindrome (463364).

The spelling of 423040 in words is "four hundred twenty-three thousand, forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 661 1322 2644 3305 5288 6610 10576 13220 21152 26440 42304 52880 84608 105760 211520 423040