Search a number
-
+
338270988 = 22311321179
BaseRepresentation
bin10100001010011…
…001101100001100
3212120111221120010
4110022121230030
51143044132423
653322153220
711245153536
oct2412315414
9776457503
10338270988
11163a44000
1295352810
135510a663
1432cd6856
151ea6d693
hex14299b0c

338270988 has 48 divisors (see below), whose sum is σ = 868210560. Its totient is φ = 102501520.

The previous prime is 338270987. The next prime is 338271019. The reversal of 338270988 is 889072833.

It is a super-2 number, since 2×3382709882 = 228854522644992288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338270987) 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, 5383 + ... + 26561.

It is an arithmetic number, because the mean of its divisors is an integer number (18087720).

Almost surely, 2338270988 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 338270988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434105280).

338270988 is an abundant number, since it is smaller than the sum of its proper divisors (529939572).

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

338270988 is a wasteful number, since it uses less digits than its factorization.

338270988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21219 (or 21195 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 338270988 is about 18392.1447362726. The cubic root of 338270988 is about 696.7680861889.

The spelling of 338270988 in words is "three hundred thirty-eight million, two hundred seventy thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 3993 5324 7986 15972 21179 42358 63537 84716 127074 232969 254148 465938 698907 931876 1397814 2562659 2795628 5125318 7687977 10250636 15375954 28189249 30751908 56378498 84567747 112756996 169135494 338270988