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338898336 = 2537717103
BaseRepresentation
bin10100001100110…
…010110110100000
3212121200211010020
4110030302312200
51143224221321
653343433440
711253405540
oct2414626640
9777624106
10338898336
11164332377
12955b5880
135529a07a
143301b320
151eb444c6
hex14332da0

338898336 has 96 divisors (see below), whose sum is σ = 1031159808. Its totient is φ = 95450880.

The previous prime is 338898299. The next prime is 338898359. The reversal of 338898336 is 633898833.

338898336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3388983362 = 229704164287137792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44161 + ... + 51263.

It is an arithmetic number, because the mean of its divisors is an integer number (10741248).

Almost surely, 2338898336 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 338898336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515579904).

338898336 is an abundant number, since it is smaller than the sum of its proper divisors (692261472).

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

338898336 is a wasteful number, since it uses less digits than its factorization.

338898336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194 (or 7186 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 338898336 is about 18409.1916172330. The cubic root of 338898336 is about 697.1985557807.

The spelling of 338898336 in words is "three hundred thirty-eight million, eight hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7103 7952 11928 14206 15904 21309 23856 28412 42618 47712 49721 56824 85236 99442 113648 149163 170472 198884 227296 298326 340944 397768 504313 596652 681888 795536 1008626 1193304 1512939 1591072 2017252 2386608 3025878 3530191 4034504 4773216 6051756 7060382 8069008 10590573 12103512 14120764 16138016 21181146 24207024 28241528 42362292 48414048 56483056 84724584 112966112 169449168 338898336