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256930344 = 233211353919
BaseRepresentation
bin11110101000001…
…11001000101000
3122220110102011200
433110013020220
51011233232334
641254524200
76236605026
oct1724071050
9586412150
10256930344
11122037630
1272066660
13412cacb8
14261a1716
1517852799
hexf507228

256930344 has 96 divisors (see below), whose sum is σ = 762091200. Its totient is φ = 77552640.

The previous prime is 256930339. The next prime is 256930351. The reversal of 256930344 is 443039652.

256930344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 256930299 and 256930308.

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, 279117 + ... + 280035.

It is an arithmetic number, because the mean of its divisors is an integer number (7938450).

Almost surely, 2256930344 is an apocalyptic number.

256930344 is a gapful number since it is divisible by the number (24) 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 256930344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381045600).

256930344 is an abundant number, since it is smaller than the sum of its proper divisors (505160856).

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

256930344 is a wasteful number, since it uses less digits than its factorization.

256930344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 256930344 is about 16029.0468837046. The cubic root of 256930344 is about 635.7286726823.

Adding to 256930344 its reverse (443039652), we get a palindrome (699969996).

The spelling of 256930344 in words is "two hundred fifty-six million, nine hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 353 396 706 792 919 1059 1412 1838 2118 2757 2824 3177 3676 3883 4236 5514 6354 7352 7766 8271 8472 10109 11028 11649 12708 15532 16542 20218 22056 23298 25416 30327 31064 33084 34947 40436 46596 60654 66168 69894 80872 90981 93192 121308 139788 181962 242616 279576 324407 363924 648814 727848 973221 1297628 1946442 2595256 2919663 3568477 3892884 5839326 7136954 7785768 10705431 11678652 14273908 21410862 23357304 28547816 32116293 42821724 64232586 85643448 128465172 256930344