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338381300 = 225233110223
BaseRepresentation
bin10100001010110…
…100100111110100
3212120201112212202
4110022310213310
51143111200200
653324404032
711246123255
oct2412644764
9776645782
10338381300
11164009974
12953a6618
135514892a
1432d24b2c
151ea911d5
hex142b49f4

338381300 has 36 divisors (see below), whose sum is σ = 736577856. Its totient is φ = 134930400.

The previous prime is 338381297. The next prime is 338381321. The reversal of 338381300 is 3183833.

It is a super-2 number, since 2×3383813002 = 229003808379380000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27989 + ... + 38211.

It is an arithmetic number, because the mean of its divisors is an integer number (20460496).

Almost surely, 2338381300 is an apocalyptic number.

It is an amenable number.

338381300 is an abundant number, since it is smaller than the sum of its proper divisors (398196556).

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

338381300 is a wasteful number, since it uses less digits than its factorization.

338381300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10568 (or 10561 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 338381300 is about 18395.1433807948. The cubic root of 338381300 is about 696.8438179054.

The spelling of 338381300 in words is "three hundred thirty-eight million, three hundred eighty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 331 662 1324 1655 3310 6620 8275 10223 16550 20446 33100 40892 51115 102230 204460 255575 511150 1022300 3383813 6767626 13535252 16919065 33838130 67676260 84595325 169190650 338381300