Search a number
-
+
1341811632 = 243717613851
BaseRepresentation
bin100111111111010…
…0110101110110000
310110111212002112010
41033332212232300
510222000433012
6341051402520
745152132160
oct11776465660
93414762463
101341811632
11629465a37
12315453440
13184cb72a5
14ca2c65a0
157cbedc3c
hex4ffa6bb0

1341811632 has 160 divisors (see below), whose sum is σ = 4264441344. Its totient is φ = 354816000.

The previous prime is 1341811631. The next prime is 1341811663. The reversal of 1341811632 is 2361181431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1341811632.

It is not an unprimeable number, because it can be changed into a prime (1341811631) 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, 346507 + ... + 350357.

Almost surely, 21341811632 is an apocalyptic number.

1341811632 is a gapful number since it is divisible by the number (12) 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 1341811632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132220672).

1341811632 is an abundant number, since it is smaller than the sum of its proper divisors (2922629712).

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

1341811632 is a wasteful number, since it uses less digits than its factorization.

1341811632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3941 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1341811632 is about 36630.7470849285. The cubic root of 1341811632 is about 1102.9703827325.

The spelling of 1341811632 in words is "one billion, three hundred forty-one million, eight hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 61 68 84 102 112 119 122 136 168 183 204 238 244 272 336 357 366 408 427 476 488 714 732 816 854 952 976 1037 1281 1428 1464 1708 1904 2074 2562 2856 2928 3111 3416 3851 4148 5124 5712 6222 6832 7259 7702 8296 10248 11553 12444 14518 15404 16592 20496 21777 23106 24888 26957 29036 30808 43554 46212 49776 53914 58072 61616 65467 80871 87108 92424 107828 116144 130934 161742 174216 184848 196401 215656 234911 261868 323484 348432 392802 431312 458269 469822 523736 646968 704733 785604 916538 939644 1047472 1293936 1374807 1409466 1571208 1644377 1833076 1879288 2749614 2818932 3142416 3288754 3666152 3758576 3993487 4933131 5499228 5637864 6577508 7332304 7986974 9866262 10998456 11275728 11980461 13155016 15973948 19732524 21996912 23960922 26310032 27954409 31947896 39465048 47921844 55908818 63895792 78930096 83863227 95843688 111817636 167726454 191687376 223635272 335452908 447270544 670905816 1341811632