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338468733 = 3318169259
BaseRepresentation
bin10100001011001…
…001111101111101
3212120212222211000
4110023021331331
51143121444413
653330320513
711246636211
oct2413117575
9776788730
10338468733
11164069629
1295429139
1355179675
1432d48941
151eaac073
hex142c9f7d

338468733 has 16 divisors (see below), whose sum is σ = 504212800. Its totient is φ = 224395920.

The previous prime is 338468729. The next prime is 338468749. The reversal of 338468733 is 337864833.

It is not a de Polignac number, because 338468733 - 22 = 338468729 is a prime.

It is a super-2 number, since 2×3384687332 = 229122166437250578, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338468723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29743 + ... + 39516.

It is an arithmetic number, because the mean of its divisors is an integer number (31513300).

Almost surely, 2338468733 is an apocalyptic number.

It is an amenable number.

338468733 is a deficient number, since it is larger than the sum of its proper divisors (165744067).

338468733 is a wasteful number, since it uses less digits than its factorization.

338468733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69449 (or 69443 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 338468733 is about 18397.5197513143. The cubic root of 338468733 is about 696.9038309722.

The spelling of 338468733 in words is "three hundred thirty-eight million, four hundred sixty-eight thousand, seven hundred thirty-three".

Divisors: 1 3 9 27 181 543 1629 4887 69259 207777 623331 1869993 12535879 37607637 112822911 338468733