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338923216 = 24192348473
BaseRepresentation
bin10100001100111…
…000111011010000
3212121202002020201
4110030320323100
51143231020331
653344144544
711253541222
oct2414707320
9777662221
10338923216
1116434a035
1295608154
13552a84a8
1433026412
151eb4ba61
hex14338ed0

338923216 has 40 divisors (see below), whose sum is σ = 721293120. Its totient is φ = 153559296.

The previous prime is 338923201. The next prime is 338923223. The reversal of 338923216 is 612329833.

It is a super-2 number, since 2×3389232162 = 229737892687565312, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

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, 17245 + ... + 31228.

It is an arithmetic number, because the mean of its divisors is an integer number (18032328).

Almost surely, 2338923216 is an apocalyptic number.

It is an amenable number.

338923216 is an abundant number, since it is smaller than the sum of its proper divisors (382369904).

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

338923216 is a wasteful number, since it uses less digits than its factorization.

338923216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48523 (or 48517 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 338923216 is about 18409.8673542207. The cubic root of 338923216 is about 697.2156168220.

The spelling of 338923216 in words is "three hundred thirty-eight million, nine hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992 48473 96946 193892 387784 775568 920987 1114879 1841974 2229758 3683948 4459516 7367896 8919032 14735792 17838064 21182701 42365402 84730804 169461608 338923216