Search a number
-
+
338081445 = 34513157409
BaseRepresentation
bin10100001001101…
…011011010100101
3212120011022120000
4110021223122211
51143022101240
653314131513
711243434122
oct2411533245
9776138500
10338081445
11163924659
1295280b99
13550722c0
1432c87749
151ea32430
hex1426b6a5

338081445 has 80 divisors (see below), whose sum is σ = 658423920. Its totient is φ = 164975616.

The previous prime is 338081413. The next prime is 338081461. The reversal of 338081445 is 544180833.

It can be written as a sum of positive squares in 8 ways, for example, as 5602689 + 332478756 = 2367^2 + 18234^2 .

It is not a de Polignac number, because 338081445 - 25 = 338081413 is a prime.

It is a super-2 number, since 2×3380814452 = 228598126906576050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 826401 + ... + 826809.

It is an arithmetic number, because the mean of its divisors is an integer number (8230299).

Almost surely, 2338081445 is an apocalyptic number.

It is an amenable number.

338081445 is a deficient number, since it is larger than the sum of its proper divisors (320342475).

338081445 is a wasteful number, since it uses less digits than its factorization.

338081445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 338081445 is about 18386.9911894252. The cubic root of 338081445 is about 696.6379221165.

It can be divided in two parts, 33808 and 1445, that added together give a palindrome (35253).

The spelling of 338081445 in words is "three hundred thirty-eight million, eighty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 157 195 351 405 409 471 585 785 1053 1227 1413 1755 2041 2045 2355 3681 4239 5265 5317 6123 6135 7065 10205 11043 12717 15951 18369 18405 21195 26585 30615 33129 47853 55107 55215 63585 64213 79755 91845 143559 165321 165645 192639 239265 275535 321065 430677 577917 717795 826605 834769 963195 1733751 2153385 2504307 2889585 4173845 5201253 7512921 8668755 12521535 22538763 26006265 37564605 67616289 112693815 338081445