Search a number
-
+
1343075328 = 210327109191
BaseRepresentation
bin101000000001101…
…1011010000000000
310110121020021222200
41100003123100000
510222311402303
6341134433200
745165644340
oct12003332000
93417207880
101343075328
1162a149411
12315962800
1318533a53a
14ca534d20
157cd9d3a3
hex500db400

1343075328 has 264 divisors, whose sum is σ = 4496194560. Its totient is φ = 378224640.

The previous prime is 1343075311. The next prime is 1343075333. The reversal of 1343075328 is 8235703431.

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 = 1343075292 and 1343075301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7031713 + ... + 7031903.

It is an arithmetic number, because the mean of its divisors is an integer number (17031040).

Almost surely, 21343075328 is an apocalyptic number.

1343075328 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 1343075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248097280).

1343075328 is an abundant number, since it is smaller than the sum of its proper divisors (3153119232).

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

1343075328 is a wasteful number, since it uses less digits than its factorization.

1343075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1343075328 is about 36647.9921414530. The cubic root of 1343075328 is about 1103.3165271782.

Adding to 1343075328 its reverse (8235703431), we get a palindrome (9578778759).

The spelling of 1343075328 in words is "one billion, three hundred forty-three million, seventy-five thousand, three hundred twenty-eight".