Search a number
-
+
256434945 = 35133159719
BaseRepresentation
bin11110100100011…
…10001100000001
3122212112020121120
433102032030001
51011121404240
641240142453
76232442514
oct1722161401
9585466546
10256434945
11121829408
1271a67a29
1341186670
14260b2d7b
15177a5ad0
hexf48e301

256434945 has 64 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 119934720.

The previous prime is 256434943. The next prime is 256434947. The reversal of 256434945 is 549434652.

It is an interprime number because it is at equal distance from previous prime (256434943) and next prime (256434947).

It is not a de Polignac number, because 256434945 - 21 = 256434943 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 256434897 and 256434906.

It is not an unprimeable number, because it can be changed into a prime (256434943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356296 + ... + 357014.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2256434945 is an apocalyptic number.

It is an amenable number.

256434945 is a deficient number, since it is larger than the sum of its proper divisors (208051455).

256434945 is a wasteful number, since it uses less digits than its factorization.

256434945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830.

The product of its digits is 518400, while the sum is 42.

The square root of 256434945 is about 16013.5862629206. The cubic root of 256434945 is about 635.3198174037.

The spelling of 256434945 in words is "two hundred fifty-six million, four hundred thirty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 13 15 31 39 59 65 93 155 177 195 295 403 465 719 767 885 1209 1829 2015 2157 2301 3595 3835 5487 6045 9145 9347 10785 11505 22289 23777 27435 28041 42421 46735 66867 71331 111445 118885 127263 140205 212105 289757 334335 356655 551473 636315 869271 1315051 1448785 1654419 2757365 3945153 4346355 6575255 8272095 17095663 19725765 51286989 85478315 256434945