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338239125 = 33537103139
BaseRepresentation
bin10100001010010…
…001111010010101
3212120110022212000
4110022101322111
51143042123000
653321345513
711244661620
oct2412217225
9776408760
10338239125
11163a22074
1295338299
13550c8cc3
1432cc8db7
151ea64000
hex14291e95

338239125 has 128 divisors (see below), whose sum is σ = 726835200. Its totient is φ = 152020800.

The previous prime is 338239087. The next prime is 338239129. The reversal of 338239125 is 521932833.

It is not a de Polignac number, because 338239125 - 26 = 338239061 is a prime.

It is a super-2 number, since 2×3382391252 = 228811411361531250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 338239125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338239129) 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 127 ways as a sum of consecutive naturals, for example, 2433306 + ... + 2433444.

It is an arithmetic number, because the mean of its divisors is an integer number (5678400).

Almost surely, 2338239125 is an apocalyptic number.

338239125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338239125 is an abundant number, since it is smaller than the sum of its proper divisors (388596075).

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

338239125 is a wasteful number, since it uses less digits than its factorization.

338239125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 338239125 is about 18391.2785036821. The cubic root of 338239125 is about 696.7462084446.

The spelling of 338239125 in words is "three hundred thirty-eight million, two hundred thirty-nine thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 103 105 125 135 139 175 189 225 309 315 375 417 515 525 675 695 721 875 927 945 973 1125 1251 1545 1575 2085 2163 2575 2625 2781 2919 3375 3475 3605 3753 4635 4725 4865 6255 6489 7725 7875 8757 10425 10815 12875 13905 14317 14595 17375 18025 18765 19467 23175 23625 24325 26271 31275 32445 38625 42951 43785 52125 54075 69525 71585 72975 90125 93825 97335 100219 115875 121625 128853 131355 156375 162225 214755 218925 270375 300657 347625 357925 364875 386559 469125 486675 501095 644265 656775 811125 901971 1073775 1094625 1503285 1789625 1932795 2433375 2505475 2705913 3221325 3283875 4509855 5368875 7516425 9663975 12527375 13529565 16106625 22549275 37582125 48319875 67647825 112746375 338239125