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378767873 = 11273137313
BaseRepresentation
bin10110100100111…
…000101000000001
3222101201101211202
4112210320220001
51233431032443
6101330150545
712246321341
oct2644705001
9871641752
10378767873
11184893a00
12a6a22455
1360619403
1438438d21
15233bc7b8
hex16938a01

378767873 has 24 divisors (see below), whose sum is σ = 426473544. Its totient is φ = 336061440.

The previous prime is 378767843. The next prime is 378767899.

378767873 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5234944 + 373532929 = 2288^2 + 19327^2 .

It is not a de Polignac number, because 378767873 - 214 = 378751489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (378767843) by changing a digit.

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, 1209965 + ... + 1210277.

It is an arithmetic number, because the mean of its divisors is an integer number (17769731).

Almost surely, 2378767873 is an apocalyptic number.

It is an amenable number.

378767873 is a deficient number, since it is larger than the sum of its proper divisors (47705671).

378767873 is a wasteful number, since it uses less digits than its factorization.

378767873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 56.

The square root of 378767873 is about 19461.9596392552. The cubic root of 378767873 is about 723.5319468234.

The spelling of 378767873 in words is "three hundred seventy-eight million, seven hundred sixty-seven thousand, eight hundred seventy-three".

Divisors: 1 11 73 121 137 313 803 1507 3443 8833 10001 16577 22849 37873 42881 110011 251339 471691 1210121 2764729 3130313 5188601 34433443 378767873