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378784016 = 241311291613
BaseRepresentation
bin10110100100111…
…100100100010000
3222101202012222122
4112210330210100
51233432042031
6101330353412
712246416402
oct2644744420
9871665878
10378784016
111848a5046
12a6a2b868
1360623870
1438440b72
15233c247b
hex1693c910

378784016 has 40 divisors (see below), whose sum is σ = 791537880. Its totient is φ = 174560256.

The previous prime is 378784001. The next prime is 378784027. The reversal of 378784016 is 610487873.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 378691600 = 304^2 + 19460^2 .

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, 234026 + ... + 235638.

It is an arithmetic number, because the mean of its divisors is an integer number (19788447).

Almost surely, 2378784016 is an apocalyptic number.

It is an amenable number.

378784016 is an abundant number, since it is smaller than the sum of its proper divisors (412753864).

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

378784016 is a wasteful number, since it uses less digits than its factorization.

378784016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 378784016 is about 19462.3743669677. The cubic root of 378784016 is about 723.5422255993.

The spelling of 378784016 in words is "three hundred seventy-eight million, seven hundred eighty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 1129 1613 2258 3226 4516 6452 9032 12904 14677 18064 20969 25808 29354 41938 58708 83876 117416 167752 234832 335504 1821077 3642154 7284308 14568616 23674001 29137232 47348002 94696004 189392008 378784016