Search a number
-
+
338112048 = 243171313163
BaseRepresentation
bin10100001001110…
…010111000110000
3212120012212112110
4110021302320300
51143024041143
653314525320
711243622261
oct2411627060
9776185473
10338112048
1116394564a
1295296840
1355083201
1432c94968
151ea3b533
hex14272e30

338112048 has 80 divisors (see below), whose sum is σ = 932190336. Its totient is φ = 105231360.

The previous prime is 338112043. The next prime is 338112077. The reversal of 338112048 is 840211833.

It is a super-2 number, since 2×3381120482 = 228639514005508608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338112043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105315 + ... + 108477.

Almost surely, 2338112048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338112048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466095168).

338112048 is an abundant number, since it is smaller than the sum of its proper divisors (594078288).

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

338112048 is a wasteful number, since it uses less digits than its factorization.

338112048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 338112048 is about 18387.8233622145. The cubic root of 338112048 is about 696.6589412796.

The spelling of 338112048 in words is "three hundred thirty-eight million, one hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 3163 4454 6288 6326 6681 8908 9489 12652 13362 17816 18978 25304 26724 35632 37956 50608 53448 53771 75912 106896 107542 151824 161313 215084 322626 414353 430168 645252 828706 860336 1243059 1290504 1657412 2486118 2581008 3314824 4972236 6629648 7044001 9944472 14088002 19888944 21132003 28176004 42264006 56352008 84528012 112704016 169056024 338112048