Search a number
-
+
10343443240 = 2351337613877
BaseRepresentation
bin10011010001000010…
…00110101100101000
3222200212000100200101
421220201012230220
5132140410140430
64430211515144
7514214550124
oct115041065450
928625010611
1010343443240
114428670aa9
122007bb8ab4
13c8abb9120
14701a04584
154080eddca
hex268846b28

10343443240 has 128 divisors (see below), whose sum is σ = 25811724960. Its totient is φ = 3705606144.

The previous prime is 10343443217. The next prime is 10343443249. The reversal of 10343443240 is 4234434301.

It can be written as a sum of positive squares in 16 ways, for example, as 326235844 + 10017207396 = 18062^2 + 100086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10343443199 and 10343443208.

It is not an unprimeable number, because it can be changed into a prime (10343443249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11793682 + ... + 11794558.

Almost surely, 210343443240 is an apocalyptic number.

10343443240 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 10343443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905862480).

10343443240 is an abundant number, since it is smaller than the sum of its proper divisors (15468281720).

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

10343443240 is a wasteful number, since it uses less digits than its factorization.

10343443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10343443240 its reverse (4234434301), we get a palindrome (14577877541).

The spelling of 10343443240 in words is "ten billion, three hundred forty-three million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 613 740 877 962 1226 1480 1754 1924 2405 2452 3065 3508 3848 4385 4810 4904 6130 7016 7969 8770 9620 11401 12260 15938 17540 19240 22681 22802 24520 31876 32449 35080 39845 45362 45604 57005 63752 64898 79690 90724 91208 113405 114010 129796 159380 162245 181448 226810 228020 259592 294853 318760 324490 421837 453620 456040 537601 589706 648980 843674 907240 1075202 1179412 1297960 1474265 1687348 2109185 2150404 2358824 2688005 2948530 3374696 4218370 4300808 5376010 5897060 6988813 8436740 10752020 11794120 13977626 16873480 19891237 21504040 27955252 34944065 39782474 55910504 69888130 79564948 99456185 139776260 159129896 198912370 258586081 279552520 397824740 517172162 795649480 1034344324 1292930405 2068688648 2585860810 5171721620 10343443240