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1341233320 = 23575718389
BaseRepresentation
bin100111111110001…
…1001100010101000
310110110202201020011
41033330121202220
510221323431240
6341031141304
745144203140
oct11774314250
93413681204
101341233320
11629100499
12315214834
13184b43cab
14ca1b5920
157cb376ea
hex4ff198a8

1341233320 has 64 divisors (see below), whose sum is σ = 3455337600. Its totient is φ = 458991360.

The previous prime is 1341233263. The next prime is 1341233329. The reversal of 1341233320 is 233321431.

It is a junction number, because it is equal to n+sod(n) for n = 1341233291 and 1341233300.

It is not an unprimeable number, because it can be changed into a prime (1341233329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155686 + ... + 164074.

It is an arithmetic number, because the mean of its divisors is an integer number (53989650).

Almost surely, 21341233320 is an apocalyptic number.

1341233320 is a gapful number since it is divisible by the number (10) 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 1341233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727668800).

1341233320 is an abundant number, since it is smaller than the sum of its proper divisors (2114104280).

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

1341233320 is a wasteful number, since it uses less digits than its factorization.

1341233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1341233320 is about 36622.8524285043. The cubic root of 1341233320 is about 1102.8119022989.

Adding to 1341233320 its reverse (233321431), we get a palindrome (1574554751).

The spelling of 1341233320 in words is "one billion, three hundred forty-one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 571 1142 2284 2855 3997 4568 5710 7994 8389 11420 15988 16778 19985 22840 31976 33556 39970 41945 58723 67112 79940 83890 117446 159880 167780 234892 293615 335560 469784 587230 1174460 2348920 4790119 9580238 19160476 23950595 33530833 38320952 47901190 67061666 95802380 134123332 167654165 191604760 268246664 335308330 670616660 1341233320