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338992896 = 2831140127
BaseRepresentation
bin10100001101001…
…001111100000000
3212121212121211110
4110031021330000
51143240233041
653345443320
711254251324
oct2415117400
9777777743
10338992896
11164397420
1295640540
1355301118
1433043984
151eb62516
hex14349f00

338992896 has 72 divisors (see below), whose sum is σ = 984259584. Its totient is φ = 102722560.

The previous prime is 338992891. The next prime is 338992933. The reversal of 338992896 is 698299833.

It is a super-2 number, since 2×3389928962 = 229832367076933632, which contains 22 as substring.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338992891) 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, 11616 + ... + 28511.

It is an arithmetic number, because the mean of its divisors is an integer number (13670272).

Almost surely, 2338992896 is an apocalyptic number.

It is an amenable number.

338992896 is an abundant number, since it is smaller than the sum of its proper divisors (645266688).

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

338992896 is a wasteful number, since it uses less digits than its factorization.

338992896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40157 (or 40143 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 57.

The square root of 338992896 is about 18411.7597203526. The cubic root of 338992896 is about 697.2633942663.

The spelling of 338992896 in words is "three hundred thirty-eight million, nine hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 40127 80254 120381 160508 240762 321016 441397 481524 642032 882794 963048 1284064 1324191 1765588 1926096 2568128 2648382 3531176 3852192 5136256 5296764 7062352 7704384 10272512 10593528 14124704 15408768 21187056 28249408 30817536 42374112 56498816 84748224 112997632 169496448 338992896