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1324244430 = 233537711867
BaseRepresentation
bin100111011101110…
…0101110111001110
310102021210120212000
41032323211313032
510203001310210
6335223053130
744546614635
oct11673456716
93367716760
101324244430
1161a557493
1230b5a11a6
131814762b2
14c7c3251c
157b3cdac0
hex4eee5dce

1324244430 has 128 divisors (see below), whose sum is σ = 3679810560. Its totient is φ = 338567040.

The previous prime is 1324244419. The next prime is 1324244473. The reversal of 1324244430 is 344424231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1324244394 and 1324244403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708357 + ... + 710223.

It is an arithmetic number, because the mean of its divisors is an integer number (28748520).

Almost surely, 21324244430 is an apocalyptic number.

1324244430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324244430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839905280).

1324244430 is an abundant number, since it is smaller than the sum of its proper divisors (2355566130).

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

1324244430 is a wasteful number, since it uses less digits than its factorization.

1324244430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1324244430 is about 36390.1694142800. The cubic root of 1324244430 is about 1098.1358039199.

Adding to 1324244430 its reverse (344424231), we get a palindrome (1668668661).

The spelling of 1324244430 in words is "one billion, three hundred twenty-four million, two hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 71 74 90 111 135 142 185 213 222 270 333 355 370 426 555 639 666 710 999 1065 1110 1278 1665 1867 1917 1998 2130 2627 3195 3330 3734 3834 4995 5254 5601 6390 7881 9335 9585 9990 11202 13135 15762 16803 18670 19170 23643 26270 28005 33606 39405 47286 50409 56010 69079 70929 78810 84015 100818 118215 132557 138158 141858 168030 207237 236430 252045 265114 345395 354645 397671 414474 504090 621711 662785 690790 709290 795342 1036185 1193013 1243422 1325570 1865133 1988355 2072370 2386026 3108555 3579039 3730266 3976710 4904609 5965065 6217110 7158078 9325665 9809218 11930130 14713827 17895195 18651330 24523045 29427654 35790390 44141481 49046090 73569135 88282962 132424443 147138270 220707405 264848886 441414810 662122215 1324244430