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1343124432 = 2432134331657
BaseRepresentation
bin101000000001110…
…0111001111010000
310110121022210100100
41100003213033100
510222314440212
6341135452400
745166240446
oct12003471720
93417283310
101343124432
1162a1822a1
12315987100
131853569b0
14ca548b96
157cdacbdc
hex500e73d0

1343124432 has 120 divisors (see below), whose sum is σ = 4059825224. Its totient is φ = 412065792.

The previous prime is 1343124427. The next prime is 1343124443. The reversal of 1343124432 is 2344213431.

It can be written as a sum of positive squares in 4 ways, for example, as 18455616 + 1324668816 = 4296^2 + 36396^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1343124396 and 1343124405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809748 + ... + 811404.

Almost surely, 21343124432 is an apocalyptic number.

1343124432 is a gapful number since it is divisible by the number (12) 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 1343124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029912612).

1343124432 is an abundant number, since it is smaller than the sum of its proper divisors (2716700792).

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

1343124432 is a wasteful number, since it uses less digits than its factorization.

1343124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2108 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1343124432 is about 36648.6620765343. The cubic root of 1343124432 is about 1103.3299730844.

Adding to 1343124432 its reverse (2344213431), we get a palindrome (3687337863).

The spelling of 1343124432 in words is "one billion, three hundred forty-three million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 433 468 624 866 936 1299 1657 1732 1872 2598 3314 3464 3897 4971 5196 5629 6628 6928 7794 9942 10392 11258 13256 14913 15588 16887 19884 20784 21541 22516 26512 29826 31176 33774 39768 43082 45032 50661 59652 62352 64623 67548 79536 86164 90064 101322 119304 129246 135096 172328 193869 202644 238608 258492 270192 344656 387738 405288 516984 717481 775476 810576 1033968 1434962 1550952 2152443 2869924 3101904 4304886 5739848 6457329 8609772 9327253 11479696 12914658 17219544 18654506 25829316 27981759 34439088 37309012 51658632 55963518 74618024 83945277 103317264 111927036 149236048 167890554 223854072 335781108 447708144 671562216 1343124432