Search a number
-
+
268438417 = 1321588393
BaseRepresentation
bin10000000000000…
…000101110010001
3200201010002021121
4100000000232101
51022210012132
642345322241
76436455202
oct2000005621
9621102247
10268438417
11128587835
1275a96381
13437ca100
14279195a9
1518877497
hex10000b91

268438417 has 6 divisors (see below), whose sum is σ = 290676102. Its totient is φ = 247789152.

The previous prime is 268438399. The next prime is 268438459. The reversal of 268438417 is 714834862.

It can be written as a sum of positive squares in 3 ways, for example, as 919681 + 267518736 = 959^2 + 16356^2 .

It is a de Polignac number, because none of the positive numbers 2k-268438417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268408417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 794028 + ... + 794365.

It is an arithmetic number, because the mean of its divisors is an integer number (48446017).

Almost surely, 2268438417 is an apocalyptic number.

It is an amenable number.

268438417 is a deficient number, since it is larger than the sum of its proper divisors (22237685).

268438417 is a wasteful number, since it uses less digits than its factorization.

268438417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588419 (or 1588406 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 268438417 is about 16384.0903622996. The cubic root of 268438417 is about 645.0819494057.

The spelling of 268438417 in words is "two hundred sixty-eight million, four hundred thirty-eight thousand, four hundred seventeen".

Divisors: 1 13 169 1588393 20649109 268438417