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338024064 = 2737125753
BaseRepresentation
bin10100001001011…
…101011010000000
3212120001101211210
4110021131122000
51143013232224
653313010120
711243104620
oct2411353200
9776041753
10338024064
11163895534
1295253940
1355052151
1432c70880
151ea20429
hex1425d680

338024064 has 64 divisors (see below), whose sum is σ = 1026152640. Its totient is φ = 96577536.

The previous prime is 338024059. The next prime is 338024129. The reversal of 338024064 is 460420833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3380240642 = 228520535686152192, 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, 60189 + ... + 65564.

It is an arithmetic number, because the mean of its divisors is an integer number (16033635).

Almost surely, 2338024064 is an apocalyptic number.

It is an amenable number.

338024064 is an abundant number, since it is smaller than the sum of its proper divisors (688128576).

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

338024064 is a wasteful number, since it uses less digits than its factorization.

338024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125777 (or 125765 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 338024064 is about 18385.4307537245. The cubic root of 338024064 is about 696.5985075091.

Adding to 338024064 its reverse (460420833), we get a palindrome (798444897).

The spelling of 338024064 in words is "three hundred thirty-eight million, twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 125753 251506 377259 503012 754518 880271 1006024 1509036 1760542 2012048 2640813 3018072 3521084 4024096 5281626 6036144 7042168 8048192 10563252 12072288 14084336 16096384 21126504 24144576 28168672 42253008 48289152 56337344 84506016 112674688 169012032 338024064