Search a number
-
+
338354242880 = 2651057357009
BaseRepresentation
bin1001110110001110111…
…11000000010101000000
31012100100111012102220012
410323013133000111000
521020422141233010
6415234321404052
733305506416413
oct4730737002500
91170314172805
10338354242880
1112054a170695
12556aa199628
1325ba2c47294
141253ad07b7a
158c04959005
hex4ec77c0540

338354242880 has 28 divisors (see below), whose sum is σ = 805706041620. Its totient is φ = 135341697024.

The previous prime is 338354242867. The next prime is 338354242883. The reversal of 338354242880 is 88242453833.

It can be written as a sum of positive squares in 2 ways, for example, as 36197345536 + 302156897344 = 190256^2 + 549688^2 .

It is a super-2 number, since 2×3383542428802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338354242883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 528678185 + ... + 528678824.

Almost surely, 2338354242880 is an apocalyptic number.

It is an amenable number.

338354242880 is an abundant number, since it is smaller than the sum of its proper divisors (467351798740).

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

338354242880 is a wasteful number, since it uses less digits than its factorization.

338354242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057357026 (or 1057357016 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 50.

The spelling of 338354242880 in words is "three hundred thirty-eight billion, three hundred fifty-four million, two hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1057357009 2114714018 4229428036 5286785045 8458856072 10573570090 16917712144 21147140180 33835424288 42294280360 67670848576 84588560720 169177121440 338354242880