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338120980 = 22516906049
BaseRepresentation
bin10100001001110…
…101000100010100
3212120020022210021
4110021311010110
51143024332410
653315034524
711243660311
oct2411650424
9776208707
10338120980
1116395132a
129529ba44
13550872b2
1432c97d08
151ea3deda
hex14275114

338120980 has 12 divisors (see below), whose sum is σ = 710054100. Its totient is φ = 135248384.

The previous prime is 338120977. The next prime is 338120989. The reversal of 338120980 is 89021833.

It can be written as a sum of positive squares in 2 ways, for example, as 98366724 + 239754256 = 9918^2 + 15484^2 .

It is a super-2 number, since 2×3381209802 = 228651594232320800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338120989) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8453005 + ... + 8453044.

It is an arithmetic number, because the mean of its divisors is an integer number (59171175).

Almost surely, 2338120980 is an apocalyptic number.

It is an amenable number.

338120980 is an abundant number, since it is smaller than the sum of its proper divisors (371933120).

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

338120980 is a wasteful number, since it uses less digits than its factorization.

338120980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906058 (or 16906056 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 338120980 is about 18388.0662387321. The cubic root of 338120980 is about 696.6650758366.

The spelling of 338120980 in words is "three hundred thirty-eight million, one hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 16906049 33812098 67624196 84530245 169060490 338120980