Search a number
-
+
1341228240 = 2433511192971
BaseRepresentation
bin100111111110001…
…1000010011010000
310110110202110021000
41033330120103100
510221323300430
6341031102000
745144152262
oct11774302320
93413673230
101341228240
116290a76a0
12315211900
13184b418a1
14ca1b3b32
157cb35e60
hex4ff184d0

1341228240 has 320 divisors, whose sum is σ = 5306803200. Its totient is φ = 307929600.

The previous prime is 1341228191. The next prime is 1341228247. The reversal of 1341228240 is 428221431.

1341228240 is a `hidden beast` number, since 1 + 3 + 412 + 2 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341228247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449955 + ... + 452925.

It is an arithmetic number, because the mean of its divisors is an integer number (16583760).

Almost surely, 21341228240 is an apocalyptic number.

1341228240 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 1341228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653401600).

1341228240 is an abundant number, since it is smaller than the sum of its proper divisors (3965574960).

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

1341228240 is a wasteful number, since it uses less digits than its factorization.

1341228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1341228240 is about 36622.7830728360. The cubic root of 1341228240 is about 1102.8105099755.

Adding to 1341228240 its reverse (428221431), we get a palindrome (1769449671).

The spelling of 1341228240 in words is "one billion, three hundred forty-one million, two hundred twenty-eight thousand, two hundred forty".