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838332 = 2232112973
BaseRepresentation
bin11001100101010111100
31120120222100
43030222330
5203311312
625545100
710061055
oct3145274
91516870
10838332
11522940
12345190
13234771
1417b72c
151185dc
hexccabc

838332 has 72 divisors (see below), whose sum is σ = 2424240. Its totient is φ = 241920.

The previous prime is 838249. The next prime is 838349. The reversal of 838332 is 233838.

It is a junction number, because it is equal to n+sod(n) for n = 838296 and 838305.

It is a congruent number.

It is an unprimeable number.

838332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11448 + ... + 11520.

It is an arithmetic number, because the mean of its divisors is an integer number (33670).

2838332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212120).

838332 is an abundant number, since it is smaller than the sum of its proper divisors (1585908).

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

838332 is a wasteful number, since it uses less digits than its factorization.

838332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 118 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 838332 is about 915.6047182054. The cubic root of 838332 is about 94.2913849403.

The spelling of 838332 in words is "eight hundred thirty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 73 87 99 116 132 146 174 198 219 261 292 319 348 396 438 522 638 657 803 876 957 1044 1276 1314 1606 1914 2117 2409 2628 2871 3212 3828 4234 4818 5742 6351 7227 8468 9636 11484 12702 14454 19053 23287 25404 28908 38106 46574 69861 76212 93148 139722 209583 279444 419166 838332