Search a number
-
+
1223424 = 283459
BaseRepresentation
bin100101010101100000000
32022011020000
410222230000
5303122144
642120000
713253556
oct4525400
92264200
101223424
117661a4
124b0000
1333ab27
1423bbd6
15192769
hex12ab00

1223424 has 90 divisors (see below), whose sum is σ = 3709860. Its totient is φ = 400896.

The previous prime is 1223419. The next prime is 1223437. The reversal of 1223424 is 4243221.

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 and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (384) is a multiple of the sum of its prime divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1223397 and 1223406.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 20707 + ... + 20765.

21223424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854930).

1223424 is an abundant number, since it is smaller than the sum of its proper divisors (2486436).

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

1223424 is an frugal number, since it uses more digits than its factorization.

1223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 1223424 is about 1106.0849876931. The cubic root of 1223424 is about 106.9528426430.

Adding to 1223424 its reverse (4243221), we get a palindrome (5466645).

It can be divided in two parts, 12 and 23424, that added together give a triangular number (23436 = T216).

The spelling of 1223424 in words is "one million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 128 144 162 177 192 216 236 256 288 324 354 384 432 472 531 576 648 708 768 864 944 1062 1152 1296 1416 1593 1728 1888 2124 2304 2592 2832 3186 3456 3776 4248 4779 5184 5664 6372 6912 7552 8496 9558 10368 11328 12744 15104 16992 19116 20736 22656 25488 33984 38232 45312 50976 67968 76464 101952 135936 152928 203904 305856 407808 611712 1223424