Search a number
-
+
3344085936 = 24328323371
BaseRepresentation
bin1100011101010010…
…1011001110110000
322122001111011111200
43013110223032300
523322041222221
61311455211200
7145604155452
oct30724531660
98561434450
103344085936
111466716294
12793b16b00
13413a79899
1423a1b42d2
151488b0426
hexc752b3b0

3344085936 has 90 divisors (see below), whose sum is σ = 9475721268. Its totient is φ = 1100938560.

The previous prime is 3344085931. The next prime is 3344085947. The reversal of 3344085936 is 6395804433.

3344085936 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 2×33440859362 = 22365821494705992192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3344085891 and 3344085900.

It is not an unprimeable number, because it can be changed into a prime (3344085931) 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, 990331 + ... + 993701.

Almost surely, 23344085936 is an apocalyptic number.

3344085936 is a gapful number since it is divisible by the number (36) 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 3344085936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737860634).

3344085936 is an abundant number, since it is smaller than the sum of its proper divisors (6131635332).

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

3344085936 is a wasteful number, since it uses less digits than its factorization.

3344085936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3344085936 is about 57828.0722141072. The cubic root of 3344085936 is about 1495.4060836514.

The spelling of 3344085936 in words is "three billion, three hundred forty-four million, eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3371 3984 5976 6742 6889 10113 11952 13484 13778 20226 20667 26968 27556 30339 40452 41334 53936 55112 60678 62001 80904 82668 110224 121356 124002 161808 165336 242712 248004 279793 330672 485424 496008 559586 839379 992016 1119172 1678758 2238344 2518137 3357516 4476688 5036274 6715032 10072548 13430064 20145096 23222819 40290192 46445638 69668457 92891276 139336914 185782552 209005371 278673828 371565104 418010742 557347656 836021484 1114695312 1672042968 3344085936