Search a number
-
+
1068106338 = 234132322051
BaseRepresentation
bin111111101010100…
…000001001100010
32202102211102110000
4333222200021202
54141413400323
6253553120430
735316516435
oct7752401142
92672742400
101068106338
114a8a11112
12259859116
13140394ab0
14a1bd981c
1563b85e43
hex3faa0262

1068106338 has 80 divisors (see below), whose sum is σ = 2689638336. Its totient is φ = 314344800.

The previous prime is 1068106331. The next prime is 1068106357. The reversal of 1068106338 is 8336018601.

1068106338 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 10 + 633 + 8 = 666.

It is a super-2 number, since 2×10681063382 = 2281702298551540488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068106331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37413 + ... + 59463.

Almost surely, 21068106338 is an apocalyptic number.

1068106338 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 1068106338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344819168).

1068106338 is an abundant number, since it is smaller than the sum of its proper divisors (1621531998).

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

1068106338 is a wasteful number, since it uses less digits than its factorization.

1068106338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22101 (or 22092 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1068106338 is about 32681.8961812194. The cubic root of 1068106338 is about 1022.2053839215.

The spelling of 1068106338 in words is "one billion, sixty-eight million, one hundred six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 702 897 1053 1242 1794 1863 2106 2691 3726 5382 8073 16146 22051 24219 44102 48438 66153 132306 198459 286663 396918 507173 573326 595377 859989 1014346 1190754 1521519 1719978 1786131 2579967 3043038 3572262 4564557 5159934 6593249 7739901 9129114 13186498 13693671 15479802 19779747 23219703 27387342 39559494 41081013 46439406 59339241 82162026 118678482 178017723 356035446 534053169 1068106338