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1341303144 = 233236433779
BaseRepresentation
bin100111111110010…
…1010100101101000
310110110220021000020
41033330222211220
510221333200034
6341032440440
745144613536
oct11774524550
93413807006
101341303144
116291489a5
12315249120
13184b699cc
14ca1d3156
157cb4d249
hex4ff2a968

1341303144 has 64 divisors (see below), whose sum is σ = 3505420800. Its totient is φ = 426883776.

The previous prime is 1341303143. The next prime is 1341303149. The reversal of 1341303144 is 4413031431.

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

It is not an unprimeable number, because it can be changed into a prime (1341303143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353047 + ... + 356825.

It is an arithmetic number, because the mean of its divisors is an integer number (54772200).

Almost surely, 21341303144 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 1341303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752710400).

1341303144 is an abundant number, since it is smaller than the sum of its proper divisors (2164117656).

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

1341303144 is a wasteful number, since it uses less digits than its factorization.

1341303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1341303144 is about 36623.8057006642. The cubic root of 1341303144 is about 1102.8310392631.

Adding to 1341303144 its reverse (4413031431), we get a palindrome (5754334575).

The spelling of 1341303144 in words is "one billion, three hundred forty-one million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 643 1286 1929 2572 3779 3858 5144 7558 7716 11337 14789 15116 15432 22674 29578 30232 44367 45348 59156 86917 88734 90696 118312 173834 177468 260751 347668 354936 521502 695336 1043004 2086008 2429897 4859794 7289691 9719588 14579382 19439176 29158764 55887631 58317528 111775262 167662893 223550524 335325786 447101048 670651572 1341303144