Search a number
-
+
1363251344 = 247213210289
BaseRepresentation
bin101000101000001…
…1001000010010000
310112000012100021112
41101100121002100
510242443020334
6343135112452
745532305500
oct12120310220
93460170245
101363251344
1163a579a04
12320672728
13189582b00
14cd0a7a00
157ea364ce
hex51419090

1363251344 has 90 divisors (see below), whose sum is σ = 3327384690. Its totient is φ = 539255808.

The previous prime is 1363251341. The next prime is 1363251367. The reversal of 1363251344 is 4431523631.

It can be written as a sum of positive squares in 3 ways, for example, as 68690944 + 1294560400 = 8288^2 + 35980^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1363251344.

It is not an unprimeable number, because it can be changed into a prime (1363251341) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 127352 + ... + 137640.

It is an arithmetic number, because the mean of its divisors is an integer number (36970941).

Almost surely, 21363251344 is an apocalyptic number.

1363251344 is a gapful number since it is divisible by the number (14) 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 1363251344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663692345).

1363251344 is an abundant number, since it is smaller than the sum of its proper divisors (1964133346).

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

1363251344 is a wasteful number, since it uses less digits than its factorization.

1363251344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337 (or 10311 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 1363251344 is about 36922.2337352441. The cubic root of 1363251344 is about 1108.8138572563.

Adding to 1363251344 its reverse (4431523631), we get a palindrome (5794774975).

The spelling of 1363251344 in words is "one billion, three hundred sixty-three million, two hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 8281 9464 10192 10289 16562 18928 20578 33124 41156 66248 72023 82312 132496 133757 144046 164624 267514 288092 504161 535028 576184 936299 1008322 1070056 1152368 1738841 1872598 2016644 2140112 3477682 3745196 4033288 6554093 6955364 7490392 8066576 12171887 13108186 13910728 14980784 24343774 26216372 27821456 48687548 52432744 85203209 97375096 104865488 170406418 194750192 340812836 681625672 1363251344