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350000448 = 2637260417
BaseRepresentation
bin10100110111001…
…001010101000000
3220101120212100120
4110313021111000
51204100003243
654421420240
711446645320
oct2467112500
9811525316
10350000448
1116a625576
129926a680
1357686475
14346ab280
1520ad8c83
hex14dc9540

350000448 has 56 divisors (see below), whose sum is σ = 1058338752. Its totient is φ = 99999744.

The previous prime is 350000411. The next prime is 350000461. The reversal of 350000448 is 844000053.

It is a happy number.

350000448 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128865 + ... + 131552.

Almost surely, 2350000448 is an apocalyptic number.

It is an amenable number.

350000448 is an abundant number, since it is smaller than the sum of its proper divisors (708338304).

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

350000448 is a wasteful number, since it uses less digits than its factorization.

350000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260439 (or 260429 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 350000448 is about 18708.2989071695. The cubic root of 350000448 is about 704.7301738911.

The spelling of 350000448 in words is "three hundred fifty million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 260417 520834 781251 1041668 1562502 1822919 2083336 3125004 3645838 4166672 5468757 6250008 7291676 8333344 10937514 12500016 14583352 16666688 21875028 25000032 29166704 43750056 50000064 58333408 87500112 116666816 175000224 350000448