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338324388 = 223232335261
BaseRepresentation
bin10100001010100…
…110101110100100
3212120121122210220
4110022212232210
51143102340023
653323244340
711245465323
oct2412465644
9776548726
10338324388
11163a80136
12953796b0
1355128a5c
1432d0c0ba
151ea7e3e3
hex142a6ba4

338324388 has 48 divisors (see below), whose sum is σ = 827438976. Its totient is φ = 107388160.

The previous prime is 338324383. The next prime is 338324401. The reversal of 338324388 is 883423833.

It is a super-2 number, since 2×3383243882 = 228926783031149088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338324381) 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 15 ways as a sum of consecutive naturals, for example, 61678 + ... + 66938.

It is an arithmetic number, because the mean of its divisors is an integer number (17238312).

Almost surely, 2338324388 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 338324388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413719488).

338324388 is an abundant number, since it is smaller than the sum of its proper divisors (489114588).

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

338324388 is a wasteful number, since it uses less digits than its factorization.

338324388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5522 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 338324388 is about 18393.5963856990. The cubic root of 338324388 is about 696.8047485685.

The spelling of 338324388 in words is "three hundred thirty-eight million, three hundred twenty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 233 276 466 699 932 1398 2796 5261 5359 10522 10718 15783 16077 21044 21436 31566 32154 63132 64308 121003 242006 363009 484012 726018 1225813 1452036 2451626 3677439 4903252 7354878 14709756 28193699 56387398 84581097 112774796 169162194 338324388