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338363046 = 232716091669
BaseRepresentation
bin10100001010110…
…000001010100110
3212120200121211200
4110022300022212
51143110104141
653324143330
711246016120
oct2412601246
9776617750
10338363046
11163aa718a
1295397b46
1355140528
1432d1c210
151ea8aab6
hex142b02a6

338363046 has 48 divisors (see below), whose sum is σ = 838874400. Its totient is φ = 96557184.

The previous prime is 338363041. The next prime is 338363071. The reversal of 338363046 is 640363833.

It is a happy number.

It is a super-2 number, since 2×3383630462 = 228979101796796232, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 338363046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338363041) 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 23 ways as a sum of consecutive naturals, for example, 201900 + ... + 203568.

It is an arithmetic number, because the mean of its divisors is an integer number (17476550).

Almost surely, 2338363046 is an apocalyptic number.

338363046 is an abundant number, since it is smaller than the sum of its proper divisors (500511354).

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

338363046 is a wasteful number, since it uses less digits than its factorization.

338363046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 338363046 is about 18394.6472105338. The cubic root of 338363046 is about 696.8312872525.

The spelling of 338363046 in words is "three hundred thirty-eight million, three hundred sixty-three thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1609 1669 3218 3338 4827 5007 9654 10014 11263 11683 14481 15021 22526 23366 28962 30042 33789 35049 67578 70098 101367 105147 202734 210294 2685421 5370842 8056263 16112526 18797947 24168789 37595894 48337578 56393841 112787682 169181523 338363046