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1343653344 = 2532111761409
BaseRepresentation
bin101000000010110…
…1000010111100000
310110122022122212200
41100011220113200
510222433401334
6341155053200
745203602455
oct12005502740
93418278780
101343653344
1162a503710
12315ba1200
131854b0667
14ca64582c
157ce64799
hex501685e0

1343653344 has 288 divisors, whose sum is σ = 4496899680. Its totient is φ = 376012800.

The previous prime is 1343653331. The next prime is 1343653349. The reversal of 1343653344 is 4433563431.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1343653299 and 1343653308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343653349) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3285012 + ... + 3285420.

It is an arithmetic number, because the mean of its divisors is an integer number (15614235).

Almost surely, 21343653344 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 1343653344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248449840).

1343653344 is an abundant number, since it is smaller than the sum of its proper divisors (3153246336).

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

1343653344 is a wasteful number, since it uses less digits than its factorization.

1343653344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 1343653344 is about 36655.8773459319. The cubic root of 1343653344 is about 1103.4747816776.

The spelling of 1343653344 in words is "one billion, three hundred forty-three million, six hundred fifty-three thousand, three hundred forty-four".