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338379440 = 2457604249
BaseRepresentation
bin10100001010110…
…100001010110000
3212120201110022212
4110022310022300
51143111120230
653324351252
711246114660
oct2412641260
9776643285
10338379440
11164008533
12953a5528
1355147b29
1432d241a0
151ea90895
hex142b42b0

338379440 has 40 divisors (see below), whose sum is σ = 899124000. Its totient is φ = 116015616.

The previous prime is 338379403. The next prime is 338379469. The reversal of 338379440 is 44973833.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3383794402 = 229001290829427200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301565 + ... + 302684.

It is an arithmetic number, because the mean of its divisors is an integer number (22478100).

Almost surely, 2338379440 is an apocalyptic number.

It is an amenable number.

338379440 is an abundant number, since it is smaller than the sum of its proper divisors (560744560).

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

338379440 is a wasteful number, since it uses less digits than its factorization.

338379440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604269 (or 604263 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 338379440 is about 18395.0928239028. The cubic root of 338379440 is about 696.8425411092.

The spelling of 338379440 in words is "three hundred thirty-eight million, three hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 604249 1208498 2416996 3021245 4229743 4833992 6042490 8459486 9667984 12084980 16918972 21148715 24169960 33837944 42297430 48339920 67675888 84594860 169189720 338379440