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338341376 = 292922787
BaseRepresentation
bin10100001010101…
…010111000000000
3212120122112010002
4110022222320000
51143103411001
653323455132
711245566002
oct2412527000
9776575102
10338341376
11163a9197a
12953874a8
13551336c9
1432d14372
151ea8446b
hex142aae00

338341376 has 40 divisors (see below), whose sum is σ = 699363720. Its totient is φ = 163330048.

The previous prime is 338341363. The next prime is 338341403. The reversal of 338341376 is 673143833.

It is a super-2 number, since 2×3383413762 = 228949773427146752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3455 + ... + 26241.

It is an arithmetic number, because the mean of its divisors is an integer number (17484093).

Almost surely, 2338341376 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 338341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349681860).

338341376 is an abundant number, since it is smaller than the sum of its proper divisors (361022344).

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

338341376 is an equidigital number, since it uses as much as digits as its factorization.

338341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22834 (or 22818 counting only the distinct ones).

The product of its digits is 108864, while the sum is 38.

The square root of 338341376 is about 18394.0581710508. The cubic root of 338341376 is about 696.8164110650.

The spelling of 338341376 in words is "three hundred thirty-eight million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848 22787 45574 91148 182296 364592 660823 729184 1321646 1458368 2643292 2916736 5286584 5833472 10573168 11666944 21146336 42292672 84585344 169170688 338341376