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338387038336 = 276414124257
BaseRepresentation
bin1001110110010010111…
…00000111000010000000
31012100102202220121210201
410323021130013002000
521021004040211321
6415241452334544
733306355240114
oct4731134070200
91170382817721
10338387038336
11120566730376
12556b9174454
1325ba998a789
1412541403744
158c07786291
hex4ec9707080

338387038336 has 32 divisors (see below), whose sum is σ = 675182277180. Its totient is φ = 168929525760.

The previous prime is 338387038307. The next prime is 338387038343. The reversal of 338387038336 is 633830783833.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 270608040000 + 67778998336 = 520200^2 + 260344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×3383870383363 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1980081 + ... + 2144176.

Almost surely, 2338387038336 is an apocalyptic number.

It is an amenable number.

338387038336 is a deficient number, since it is larger than the sum of its proper divisors (336795238844).

338387038336 is an equidigital number, since it uses as much as digits as its factorization.

338387038336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124912 (or 4124900 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 55.

The spelling of 338387038336 in words is "three hundred thirty-eight billion, three hundred eighty-seven million, thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 641 1282 2564 5128 10256 20512 41024 82048 4124257 8248514 16497028 32994056 65988112 131976224 263952448 527904896 2643648737 5287297474 10574594948 21149189896 42298379792 84596759584 169193519168 338387038336