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1343112144 = 243117273499
BaseRepresentation
bin101000000001110…
…0100001111010000
310110121022011111020
41100003210033100
510222314042034
6341135315440
745166156563
oct12003441720
93417264436
101343112144
1162a174040
1231597bb80
1318535121a
14ca5444da
157cda9249
hex500e43d0

1343112144 has 80 divisors (see below), whose sum is σ = 3791424000. Its totient is φ = 406327680.

The previous prime is 1343112097. The next prime is 1343112161. The reversal of 1343112144 is 4412113431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 382107 + ... + 385605.

It is an arithmetic number, because the mean of its divisors is an integer number (47392800).

Almost surely, 21343112144 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 1343112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895712000).

1343112144 is an abundant number, since it is smaller than the sum of its proper divisors (2448311856).

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

1343112144 is a wasteful number, since it uses less digits than its factorization.

1343112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4242 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1343112144 is about 36648.4944301945. The cubic root of 1343112144 is about 1103.3266083527.

Adding to 1343112144 its reverse (4412113431), we get a palindrome (5755225575).

The spelling of 1343112144 in words is "one billion, three hundred forty-three million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 727 1454 2181 2908 3499 4362 5816 6998 7997 8724 10497 11632 13996 15994 17448 20994 23991 27992 31988 34896 38489 41988 47982 55984 63976 76978 83976 95964 115467 127952 153956 167952 191928 230934 307912 383856 461868 615824 923736 1847472 2543773 5087546 7631319 10175092 15262638 20350184 27981503 30525276 40700368 55963006 61050552 83944509 111926012 122101104 167889018 223852024 335778036 447704048 671556072 1343112144