Search a number
-
+
1341025038 = 233731093121
BaseRepresentation
bin100111111101110…
…0110101100001110
310110110101010112000
41033323212230032
510221300300123
6341022453130
745142344663
oct11773465416
93413333460
101341025038
11628a78a61
123151341a6
13184aa0252
14ca15da6a
157cae5b43
hex4fee6b0e

1341025038 has 64 divisors (see below), whose sum is σ = 3049569600. Its totient is φ = 436700160.

The previous prime is 1341025031. The next prime is 1341025043. The reversal of 1341025038 is 8305201431.

It is a happy number.

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 (1341025031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428118 + ... + 431238.

It is an arithmetic number, because the mean of its divisors is an integer number (47649525).

Almost surely, 21341025038 is an apocalyptic number.

1341025038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341025038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524784800).

1341025038 is an abundant number, since it is smaller than the sum of its proper divisors (1708544562).

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

1341025038 is a wasteful number, since it uses less digits than its factorization.

1341025038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1341025038 is about 36620.0087110858. The cubic root of 1341025038 is about 1102.7548136089.

Adding to 1341025038 its reverse (8305201431), we get a palindrome (9646226469).

The spelling of 1341025038 in words is "one billion, three hundred forty-one million, twenty-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 73 109 146 218 219 327 438 654 657 981 1314 1962 1971 2943 3121 3942 5886 6242 7957 9363 15914 18726 23871 28089 47742 56178 71613 84267 143226 168534 214839 227833 340189 429678 455666 680378 683499 1020567 1366998 2041134 2050497 3061701 4100994 6123402 6151491 9185103 12302982 18370206 24833797 49667594 74501391 149002782 223504173 447008346 670512519 1341025038