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380478784 = 2672833001
BaseRepresentation
bin10110101011011…
…010010101000000
3222111221022202211
4112223122111000
51234400310114
6101430551504
712300005410
oct2653322500
9874838684
10380478784
11185852384
12a7508594
1360a9809a
1438762640
15236096c4
hex16ada540

380478784 has 56 divisors (see below), whose sum is σ = 866209088. Its totient is φ = 162432000.

The previous prime is 380478737. The next prime is 380478823. The reversal of 380478784 is 487874083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125284 + ... + 128284.

Almost surely, 2380478784 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 380478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433104544).

380478784 is an abundant number, since it is smaller than the sum of its proper divisors (485730304).

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

380478784 is a wasteful number, since it uses less digits than its factorization.

380478784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

The square root of 380478784 is about 19505.8653742919. The cubic root of 380478784 is about 724.6197190776.

The spelling of 380478784 in words is "three hundred eighty million, four hundred seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 283 448 566 1132 1981 2264 3001 3962 4528 6002 7924 9056 12004 15848 18112 21007 24008 31696 42014 48016 63392 84028 96032 126784 168056 192064 336112 672224 849283 1344448 1698566 3397132 5944981 6794264 11889962 13588528 23779924 27177056 47559848 54354112 95119696 190239392 380478784