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338393925 = 32521788469
BaseRepresentation
bin10100001010110…
…111101101000101
3212120202012012100
4110022313231011
51143112101200
653324542313
711246205132
oct2412675505
9776665170
10338393925
11164018401
12953b1999
13551515bc
1432d29589
151ea94d00
hex142b7b45

338393925 has 36 divisors (see below), whose sum is σ = 641761380. Its totient is φ = 169858560.

The previous prime is 338393903. The next prime is 338393927. The reversal of 338393925 is 529393833.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24147396 + 314246529 = 4914^2 + 17727^2 .

It is not a de Polignac number, because 338393925 - 215 = 338361157 is a prime.

It is a super-2 number, since 2×3383939252 = 229020896953811250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338393927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40410 + ... + 48059.

It is an arithmetic number, because the mean of its divisors is an integer number (17826705).

Almost surely, 2338393925 is an apocalyptic number.

It is an amenable number.

338393925 is a deficient number, since it is larger than the sum of its proper divisors (303367455).

338393925 is a wasteful number, since it uses less digits than its factorization.

338393925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88502 (or 88494 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 338393925 is about 18395.4865388225. The cubic root of 338393925 is about 696.8524842075.

The spelling of 338393925 in words is "three hundred thirty-eight million, three hundred ninety-three thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 88469 265407 442345 796221 1327035 1503973 2211725 3981105 4511919 6635175 7519865 13535757 19905525 22559595 37599325 67678785 112797975 338393925