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3466383376 = 244123592
BaseRepresentation
bin1100111010011100…
…1101000000010000
322221120121112001111
43032213031000100
524044343232001
61331544343104
7151620525661
oct31647150020
98846545044
103466383376
111519757155
12808a74a94
134331c9431
1424c52b368
151544bb851
hexce9cd010

3466383376 has 45 divisors (see below), whose sum is σ = 6903149533. Its totient is φ = 1686208640.

The previous prime is 3466383353. The next prime is 3466383379. The reversal of 3466383376 is 6733836643.

The square root of 3466383376 is 58876.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 167029776 + 3299353600 = 12924^2 + 57440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3466383379) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 9655485 + ... + 9655843.

Almost surely, 23466383376 is an apocalyptic number.

3466383376 is the 58876-th square number.

It is an amenable number.

3466383376 is a deficient number, since it is larger than the sum of its proper divisors (3436766157).

3466383376 is an frugal number, since it uses more digits than its factorization.

3466383376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 402 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 49.

The cubic root of 3466383376 is about 1513.4178934596.

Multiplying 3466383376 by its sum of digits (49), we get a square (169852785424 = 4121322).

The spelling of 3466383376 in words is "three billion, four hundred sixty-six million, three hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 41 82 164 328 359 656 718 1436 1681 2872 3362 5744 6724 13448 14719 26896 29438 58876 117752 128881 235504 257762 515524 603479 1031048 1206958 2062096 2413916 4827832 5284121 9655664 10568242 21136484 42272968 84545936 216648961 433297922 866595844 1733191688 3466383376