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338379500 = 22531813739
BaseRepresentation
bin10100001010110…
…100001011101100
3212120201110102002
4110022310023230
51143111121000
653324351432
711246115104
oct2412641354
9776643362
10338379500
11164008588
12953a5578
1355147b74
1432d24204
151ea908d5
hex142b42ec

338379500 has 48 divisors (see below), whose sum is σ = 743302560. Its totient is φ = 134568000.

The previous prime is 338379499. The next prime is 338379527. The reversal of 338379500 is 5973833.

338379500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3383795002 = 229001372040500000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 88631 + ... + 92369.

It is an arithmetic number, because the mean of its divisors is an integer number (15485470).

Almost surely, 2338379500 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 338379500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371651280).

338379500 is an abundant number, since it is smaller than the sum of its proper divisors (404923060).

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

338379500 is a wasteful number, since it uses less digits than its factorization.

338379500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 338379500 is about 18395.0944547724. The cubic root of 338379500 is about 696.8425822962.

The spelling of 338379500 in words is "three hundred thirty-eight million, three hundred seventy-nine thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 181 250 362 500 724 905 1810 3620 3739 4525 7478 9050 14956 18100 18695 22625 37390 45250 74780 90500 93475 186950 373900 467375 676759 934750 1353518 1869500 2707036 3383795 6767590 13535180 16918975 33837950 67675900 84594875 169189750 338379500