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338056944 = 243232910559
BaseRepresentation
bin10100001001100…
…101011011110000
3212120010001221120
4110021211123300
51143020310234
653313422240
711243302521
oct2411453360
9776101846
10338056944
11163908205
129526a980
13550640c4
1432c7c848
151ea2a049
hex142656f0

338056944 has 80 divisors (see below), whose sum is σ = 942796800. Its totient is φ = 104059648.

The previous prime is 338056919. The next prime is 338056963. The reversal of 338056944 is 449650833.

338056944 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 2×3380569442 = 228564994773238272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338056896 and 338056905.

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 15 ways as a sum of consecutive naturals, for example, 26737 + ... + 37295.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 2338056944 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 338056944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471398400).

338056944 is an abundant number, since it is smaller than the sum of its proper divisors (604739856).

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

338056944 is a wasteful number, since it uses less digits than its factorization.

338056944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 338056944 is about 18386.3249182647. The cubic root of 338056944 is about 696.6210930967.

The spelling of 338056944 in words is "three hundred thirty-eight million, fifty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 2001 2668 4002 5336 8004 10559 10672 16008 21118 31677 32016 42236 63354 84472 126708 168944 242857 253416 306211 485714 506832 612422 728571 918633 971428 1224844 1457142 1837266 1942856 2449688 2914284 3674532 3885712 4899376 5828568 7042853 7349064 11657136 14085706 14698128 21128559 28171412 42257118 56342824 84514236 112685648 169028472 338056944