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338343648 = 2533524413
BaseRepresentation
bin10100001010101…
…011011011100000
3212120122122020020
4110022223123200
51143103444043
653323513440
711245605426
oct2412533340
9776578206
10338343648
11163a93655
1295388880
1355134756
1432d15116
151ea84e83
hex142ab6e0

338343648 has 24 divisors (see below), whose sum is σ = 888152328. Its totient is φ = 112781184.

The previous prime is 338343617. The next prime is 338343661. The reversal of 338343648 is 846343833.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3383436482 = 228952848283895808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 1762111 + ... + 1762302.

It is an arithmetic number, because the mean of its divisors is an integer number (37006347).

Almost surely, 2338343648 is an apocalyptic number.

It is an amenable number.

338343648 is an abundant number, since it is smaller than the sum of its proper divisors (549808680).

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

338343648 is a wasteful number, since it uses less digits than its factorization.

338343648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524426 (or 3524418 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 338343648 is about 18394.1199300211. The cubic root of 338343648 is about 696.8179707948.

The spelling of 338343648 in words is "three hundred thirty-eight million, three hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3524413 7048826 10573239 14097652 21146478 28195304 42292956 56390608 84585912 112781216 169171824 338343648