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338960268 = 22333138521
BaseRepresentation
bin10100001101000…
…001111110001100
3212121210222002000
4110031001332030
51143233212033
653345032300
711254054233
oct2415017614
9777728060
10338960268
11164374959
1295625690
13552bc30a
1433035b1a
151eb57a13
hex14341f8c

338960268 has 24 divisors (see below), whose sum is σ = 878786160. Its totient is φ = 112986720.

The previous prime is 338960233. The next prime is 338960291. The reversal of 338960268 is 862069833.

338960268 is a `hidden beast` number, since 3 + 38 + 9 + 602 + 6 + 8 = 666.

It is a super-2 number, since 2×3389602682 = 229788126565263648, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1569153 + ... + 1569368.

It is an arithmetic number, because the mean of its divisors is an integer number (36616090).

Almost surely, 2338960268 is an apocalyptic number.

It is an amenable number.

338960268 is an abundant number, since it is smaller than the sum of its proper divisors (539825892).

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

338960268 is a wasteful number, since it uses less digits than its factorization.

338960268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138534 (or 3138526 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 338960268 is about 18410.8736348930. The cubic root of 338960268 is about 697.2410230601.

The spelling of 338960268 in words is "three hundred thirty-eight million, nine hundred sixty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3138521 6277042 9415563 12554084 18831126 28246689 37662252 56493378 84740067 112986756 169480134 338960268