Search a number
-
+
338103260 = 225113314643
BaseRepresentation
bin10100001001110…
…000101111011100
3212120012102110222
4110021300233130
51143023301020
653314420512
711243554535
oct2411605734
9776172428
10338103260
11163939a90
1295291738
135507c201
1432c9168c
151ea38b25
hex14270bdc

338103260 has 48 divisors (see below), whose sum is σ = 777071232. Its totient is φ = 122548800.

The previous prime is 338103229. The next prime is 338103263. The reversal of 338103260 is 62301833.

It is a super-2 number, since 2×3381032602 = 228627628845255200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338103263) 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, 70499 + ... + 75141.

It is an arithmetic number, because the mean of its divisors is an integer number (16188984).

Almost surely, 2338103260 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 338103260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388535616).

338103260 is an abundant number, since it is smaller than the sum of its proper divisors (438967972).

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

338103260 is a wasteful number, since it uses less digits than its factorization.

338103260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 338103260 is about 18387.5843981748. The cubic root of 338103260 is about 696.6529055174.

The spelling of 338103260 in words is "three hundred thirty-eight million, one hundred three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3310 3641 4643 6620 7282 9286 14564 18205 18572 23215 36410 46430 51073 72820 92860 102146 204292 255365 510730 1021460 1536833 3073666 6147332 7684165 15368330 16905163 30736660 33810326 67620652 84525815 169051630 338103260