Search a number
-
+
1341128448 = 28331131569
BaseRepresentation
bin100111111101111…
…1111111100000000
310110110120101101000
41033323333330000
510221312102243
6341025012000
745143255322
oct11773777400
93413511330
101341128448
11629039720
12315184000
13184b0833a
14ca189612
157cb165d3
hex4fefff00

1341128448 has 288 divisors, whose sum is σ = 4473907200. Its totient is φ = 392601600.

The previous prime is 1341128441. The next prime is 1341128501. The reversal of 1341128448 is 8448211431.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341128441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356708 + ... + 2357276.

It is an arithmetic number, because the mean of its divisors is an integer number (15534400).

Almost surely, 21341128448 is an apocalyptic number.

1341128448 is a gapful number since it is divisible by the number (18) 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 1341128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236953600).

1341128448 is an abundant number, since it is smaller than the sum of its proper divisors (3132778752).

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

1341128448 is a wasteful number, since it uses less digits than its factorization.

1341128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 616 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1341128448 is about 36621.4206169013. The cubic root of 1341128448 is about 1102.7831583305.

Adding to 1341128448 its reverse (8448211431), we get a palindrome (9789339879).

The spelling of 1341128448 in words is "one billion, three hundred forty-one million, one hundred twenty-eight thousand, four hundred forty-eight".