Search a number
-
+
3110312044 = 2272174719861
BaseRepresentation
bin1011100101100011…
…1001100001101100
322000202121020000101
42321120321201230
522332214441134
61232344440444
7140035134100
oct27130714154
98022536011
103110312044
111356765524
12729779124
133a74c8938
1421711d900
151330d3e14
hexb963986c

3110312044 has 72 divisors (see below), whose sum is σ = 6847146432. Its totient is φ = 1227824640.

The previous prime is 3110312039. The next prime is 3110312053. The reversal of 3110312044 is 4402130113.

3110312044 = T11481 + T11482 + ... + T11527.

3110312044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31103120442 = 19348082022102915872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146674 + ... + 166534.

It is an arithmetic number, because the mean of its divisors is an integer number (95099256).

Almost surely, 23110312044 is an apocalyptic number.

3110312044 is a gapful number since it is divisible by the number (34) 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 3110312044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423573216).

3110312044 is an abundant number, since it is smaller than the sum of its proper divisors (3736834388).

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

3110312044 is a wasteful number, since it uses less digits than its factorization.

3110312044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19943 (or 19934 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3110312044 is about 55770.1716332306. The cubic root of 3110312044 is about 1459.7147193903.

Adding to 3110312044 its reverse (4402130113), we get a palindrome (7512442157).

The spelling of 3110312044 in words is "three billion, one hundred ten million, three hundred twelve thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 47 49 68 94 98 119 188 196 238 329 476 658 799 833 1316 1598 1666 2303 3196 3332 4606 5593 9212 11186 19861 22372 39151 39722 78302 79444 139027 156604 278054 337637 556108 675274 933467 973189 1350548 1866934 1946378 2363459 3733868 3892756 4726918 6534269 9453836 13068538 15868939 16544213 26137076 31737878 33088426 45739883 63475756 66176852 91479766 111082573 182959532 222165146 444330292 777578011 1555156022 3110312044