Search a number
-
+
338232970084 = 222324722692
BaseRepresentation
bin1001110110000000100…
…00011000101101100100
31012100001001000010220011
410323000100120231210
521020200120020314
6415214310220004
733302504544412
oct4730020305544
91170031003804
10338232970084
1112049776a639
1255675654604
1325b83a95c29
1412528b7a2b2
158be8ea14c4
hex4ec0418b64

338232970084 has 81 divisors (see below), whose sum is σ = 634565934457. Its totient is φ = 157733258848.

The previous prime is 338232970069. The next prime is 338232970087. The reversal of 338232970084 is 480079232833.

The square root of 338232970084 is 581578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22254075684 + 315978894400 = 149178^2 + 562120^2 .

It is a super-2 number, since 2×3382329700842 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338232970087) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1257371502 + ... + 1257371770.

Almost surely, 2338232970084 is an apocalyptic number.

338232970084 is the 581578-th square number.

It is an amenable number.

338232970084 is a deficient number, since it is larger than the sum of its proper divisors (296332964373).

338232970084 is an equidigital number, since it uses as much as digits as its factorization.

338232970084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 338232970084 by its sum of digits (49), we get a square (16573415534116 = 40710462).

The spelling of 338232970084 in words is "three hundred thirty-eight billion, two hundred thirty-two million, nine hundred seventy thousand, eighty-four".

Divisors: 1 2 4 23 46 47 92 94 188 269 529 538 1058 1076 1081 2116 2162 2209 4324 4418 6187 8836 12374 12643 24748 24863 25286 49726 50572 50807 72361 99452 101614 142301 144722 203228 284602 289444 290789 569204 581578 594221 1163156 1168561 1188442 1664303 2337122 2376884 3328606 3400967 4674244 6657212 6688147 6801934 13376294 13603868 13667083 26752588 27334166 38278969 54668332 76557938 78222241 153115876 156444482 159845449 312888964 314342909 319690898 628685818 639381796 1257371636 1799111543 3598223086 3676445327 7196446172 7352890654 14705781308 84558242521 169116485042 338232970084