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338472500 = 2254135389
BaseRepresentation
bin10100001011001…
…010111000110100
3212120220011222112
4110023022320310
51143122110000
653330350152
711246653202
oct2413127064
9776804875
10338472500
11164071443
129542b358
135517b2b2
1432d4a072
151eaad235
hex142cae34

338472500 has 30 divisors (see below), whose sum is σ = 740177130. Its totient is φ = 135388000.

The previous prime is 338472473. The next prime is 338472503. The reversal of 338472500 is 5274833.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 82664464 + 255808036 = 9092^2 + 15994^2 .

It is a super-2 number, since 2×3384725002 = 229127266512500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338472503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65195 + ... + 70194.

It is an arithmetic number, because the mean of its divisors is an integer number (24672571).

Almost surely, 2338472500 is an apocalyptic number.

It is an amenable number.

338472500 is an abundant number, since it is smaller than the sum of its proper divisors (401704630).

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

338472500 is a wasteful number, since it uses less digits than its factorization.

338472500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135413 (or 135396 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 338472500 is about 18397.6221289600. The cubic root of 338472500 is about 696.9064163681.

The spelling of 338472500 in words is "three hundred thirty-eight million, four hundred seventy-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 135389 270778 541556 676945 1353890 2707780 3384725 6769450 13538900 16923625 33847250 67694500 84618125 169236250 338472500