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383206842 = 23397149491
BaseRepresentation
bin10110110101110…
…100010110111010
3222201001220222000
4112311310112322
51241100104332
6102005241430
712332130054
oct2665642672
9881056860
10383206842
11187345a77
12a8403276
1361511a15
1438c728d4
1523997b7c
hex16d745ba

383206842 has 64 divisors (see below), whose sum is σ = 867888000. Its totient is φ = 125314560.

The previous prime is 383206799. The next prime is 383206847. The reversal of 383206842 is 248602383.

It is a super-2 number, since 2×3832068422 = 293694967511225928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 383206797 and 383206806.

It is not an unprimeable number, because it can be changed into a prime (383206847) 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 31 ways as a sum of consecutive naturals, for example, 780217 + ... + 780707.

It is an arithmetic number, because the mean of its divisors is an integer number (13560750).

Almost surely, 2383206842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383206842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433944000).

383206842 is an abundant number, since it is smaller than the sum of its proper divisors (484681158).

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

383206842 is a wasteful number, since it uses less digits than its factorization.

383206842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 383206842 is about 19575.6696437184. The cubic root of 383206842 is about 726.3474533853.

The spelling of 383206842 in words is "three hundred eighty-three million, two hundred six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 149 194 291 298 447 491 582 873 894 982 1341 1473 1746 2619 2682 2946 4023 4419 5238 8046 8838 13257 14453 26514 28906 43359 47627 73159 86718 95254 130077 142881 146318 219477 260154 285762 390231 428643 438954 658431 780462 857286 1285929 1316862 1975293 2571858 3950586 7096423 14192846 21289269 42578538 63867807 127735614 191603421 383206842