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338827728 = 24353133187
BaseRepresentation
bin10100001100100…
…001100111010000
3212121120020021010
4110030201213100
51143214441403
653342130520
711252662641
oct2414414720
9777506233
10338827728
11164294318
1295580a40
1355273ba5
1432ddd6c8
151eb2d603
hex143219d0

338827728 has 40 divisors (see below), whose sum is σ = 891826848. Its totient is φ = 110810752.

The previous prime is 338827721. The next prime is 338827729. The reversal of 338827728 is 827728833.

338827728 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 2×3388277282 = 229608458523283968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338827721) 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 7 ways as a sum of consecutive naturals, for example, 64050 + ... + 69137.

Almost surely, 2338827728 is an apocalyptic number.

It is an amenable number.

338827728 is an abundant number, since it is smaller than the sum of its proper divisors (552999120).

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

338827728 is a wasteful number, since it uses less digits than its factorization.

338827728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133251 (or 133245 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 338827728 is about 18407.2737796774. The cubic root of 338827728 is about 697.1501329848.

The spelling of 338827728 in words is "three hundred thirty-eight million, eight hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 133187 266374 399561 532748 799122 1065496 1598244 2130992 3196488 6392976 7058911 14117822 21176733 28235644 42353466 56471288 84706932 112942576 169413864 338827728