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338860864 = 2617311453
BaseRepresentation
bin10100001100101…
…001101101000000
3212121121220201101
4110030221231000
51143222021424
653342544144
711253161356
oct2414515500
9777556641
10338860864
11164307201
1295598054
1355285cb4
143300b7d6
151eb38344
hex14329b40

338860864 has 28 divisors (see below), whose sum is σ = 711983844. Its totient is φ = 159463424.

The previous prime is 338860861. The next prime is 338860871. The reversal of 338860864 is 468068833.

It can be written as a sum of positive squares in 2 ways, for example, as 265038400 + 73822464 = 16280^2 + 8592^2 .

It is a super-2 number, since 2×3388608642 = 229653370301652992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338860861) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 154639 + ... + 156814.

Almost surely, 2338860864 is an apocalyptic number.

338860864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

338860864 is an abundant number, since it is smaller than the sum of its proper divisors (373122980).

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

338860864 is a wasteful number, since it uses less digits than its factorization.

338860864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311482 (or 311472 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 338860864 is about 18408.1738366412. The cubic root of 338860864 is about 697.1728584112.

The spelling of 338860864 in words is "three hundred thirty-eight million, eight hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 311453 622906 1245812 2491624 4983248 5294701 9966496 10589402 19932992 21178804 42357608 84715216 169430432 338860864