Search a number
-
+
338755014 = 233132112287
BaseRepresentation
bin10100001100001…
…111110111000110
3212121102112112000
4110030033313012
51143210130024
653340410130
711252240643
oct2414176706
9777375460
10338755014
11164244724
1295546946
1355249a70
1432dc0dca
151eb16cc9
hex1430fdc6

338755014 has 64 divisors (see below), whose sum is σ = 814894080. Its totient is φ = 103692960.

The previous prime is 338755013. The next prime is 338755033. The reversal of 338755014 is 410557833.

It is a super-2 number, since 2×3387550142 = 229509919020280392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338755014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338755013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146979 + ... + 149265.

It is an arithmetic number, because the mean of its divisors is an integer number (12732720).

Almost surely, 2338755014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338755014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407447040).

338755014 is an abundant number, since it is smaller than the sum of its proper divisors (476139066).

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

338755014 is a wasteful number, since it uses less digits than its factorization.

338755014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 338755014 is about 18405.2985305862. The cubic root of 338755014 is about 697.1002588676.

The spelling of 338755014 in words is "three hundred thirty-eight million, seven hundred fifty-five thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 211 234 351 422 633 702 1266 1899 2287 2743 3798 4574 5486 5697 6861 8229 11394 13722 16458 20583 24687 29731 41166 49374 59462 61749 74061 89193 123498 148122 178386 267579 482557 535158 802737 965114 1447671 1605474 2895342 4343013 6273241 8686026 12546482 13029039 18819723 26058078 37639446 56459169 112918338 169377507 338755014