Search a number
-
+
423104 = 2611601
BaseRepresentation
bin1100111010011000000
3210111101112
41213103000
5102014404
613022452
73411353
oct1472300
9714345
10423104
11269980
12184a28
1311a776
14b029a
158556e
hex674c0

423104 has 28 divisors (see below), whose sum is σ = 917448. Its totient is φ = 192000.

The previous prime is 423103. The next prime is 423109. The reversal of 423104 is 401324.

It is not an unprimeable number, because it can be changed into a prime (423103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 404 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (32766).

2423104 is an apocalyptic number.

423104 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 423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458724).

423104 is an abundant number, since it is smaller than the sum of its proper divisors (494344).

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

423104 is a wasteful number, since it uses less digits than its factorization.

423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 423104 is about 650.4644494513. The cubic root of 423104 is about 75.0727590218.

Adding to 423104 its reverse (401324), we get a palindrome (824428).

It can be divided in two parts, 4 and 23104, that multiplied together give a square (92416 = 3042).

The spelling of 423104 in words is "four hundred twenty-three thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 601 704 1202 2404 4808 6611 9616 13222 19232 26444 38464 52888 105776 211552 423104