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423400 = 23522973
BaseRepresentation
bin1100111010111101000
3210111210111
41213113220
5102022100
613024104
73412255
oct1472750
9714714
10423400
1126a11a
12185034
1311a943
14b042c
15856ba
hex675e8

423400 has 48 divisors (see below), whose sum is σ = 1032300. Its totient is φ = 161280.

The previous prime is 423389. The next prime is 423403. The reversal of 423400 is 4324.

It can be written as a sum of positive squares in 6 ways, for example, as 171396 + 252004 = 414^2 + 502^2 .

It is not an unprimeable number, because it can be changed into a prime (423403) 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, 5764 + ... + 5836.

2423400 is an apocalyptic number.

423400 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 423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516150).

423400 is an abundant number, since it is smaller than the sum of its proper divisors (608900).

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

423400 is a wasteful number, since it uses less digits than its factorization.

423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

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

The square root of 423400 is about 650.6919393999. The cubic root of 423400 is about 75.0902616978.

Adding to 423400 its reverse (4324), we get a palindrome (427724).

The spelling of 423400 in words is "four hundred twenty-three thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 73 100 116 145 146 200 232 290 292 365 580 584 725 730 1160 1450 1460 1825 2117 2900 2920 3650 4234 5800 7300 8468 10585 14600 16936 21170 42340 52925 84680 105850 211700 423400