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338050400 = 2552422563
BaseRepresentation
bin10100001001100…
…011110101100000
3212120002201222012
4110021203311200
51143020103100
653313332052
711243244452
oct2411436540
9776081865
10338050400
111639032a6
1295267028
135506112c
1432c7a2d2
151ea28135
hex14263d60

338050400 has 36 divisors (see below), whose sum is σ = 825267492. Its totient is φ = 135219840.

The previous prime is 338050399. The next prime is 338050439. The reversal of 338050400 is 4050833.

It is a super-2 number, since 2×3380504002 = 228556145880320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210482 + ... + 212081.

It is an arithmetic number, because the mean of its divisors is an integer number (22924097).

Almost surely, 2338050400 is an apocalyptic number.

It is an amenable number.

338050400 is an abundant number, since it is smaller than the sum of its proper divisors (487217092).

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

338050400 is a wasteful number, since it uses less digits than its factorization.

338050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422583 (or 422570 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 338050400 is about 18386.1469590559. The cubic root of 338050400 is about 696.6165980770.

The spelling of 338050400 in words is "three hundred thirty-eight million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 422563 845126 1690252 2112815 3380504 4225630 6761008 8451260 10564075 13522016 16902520 21128150 33805040 42256300 67610080 84512600 169025200 338050400