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378045666 = 23241975281
BaseRepresentation
bin10110100010001…
…000010011100010
3222100100201011100
4112202020103202
51233234430131
6101302455230
712240222645
oct2642102342
9870321140
10378045666
11184440339
12a6734516
136042577b
14382cba5c
15232c87e6
hex168884e2

378045666 has 48 divisors (see below), whose sum is σ = 847887768. Its totient is φ = 121651200.

The previous prime is 378045649. The next prime is 378045671. The reversal of 378045666 is 666540873.

It can be written as a sum of positive squares in 4 ways, for example, as 143496441 + 234549225 = 11979^2 + 15315^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 68946 + ... + 74226.

Almost surely, 2378045666 is an apocalyptic number.

378045666 is an abundant number, since it is smaller than the sum of its proper divisors (469842102).

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

378045666 is a wasteful number, since it uses less digits than its factorization.

378045666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 378045666 is about 19443.3964625525. The cubic root of 378045666 is about 723.0717948940.

The spelling of 378045666 in words is "three hundred seventy-eight million, forty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 41 82 97 123 194 246 291 369 582 738 873 1746 3977 5281 7954 10562 11931 15843 23862 31686 35793 47529 71586 95058 216521 433042 512257 649563 1024514 1299126 1536771 1948689 3073542 3897378 4610313 9220626 21002537 42005074 63007611 126015222 189022833 378045666