Search a number
-
+
379006771 = 11132991393
BaseRepresentation
bin10110100101110…
…010111100110011
3222102011112112211
4112211302330303
51234011204041
6101335232551
712251335003
oct2645627463
9872145484
10379006771
11184a37440
12a6b18757
13606a1080
143849c003
1523418481
hex16972f33

379006771 has 16 divisors (see below), whose sum is σ = 460625760. Its totient is φ = 307077120.

The previous prime is 379006759. The next prime is 379006807. The reversal of 379006771 is 177600973.

It is a cyclic number.

It is not a de Polignac number, because 379006771 - 27 = 379006643 is a prime.

It is a super-2 number, since 2×3790067712 = 287292264927692882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379006741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41550 + ... + 49843.

It is an arithmetic number, because the mean of its divisors is an integer number (28789110).

Almost surely, 2379006771 is an apocalyptic number.

379006771 is a deficient number, since it is larger than the sum of its proper divisors (81618989).

379006771 is a wasteful number, since it uses less digits than its factorization.

379006771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91446.

The product of its (nonzero) digits is 55566, while the sum is 40.

The square root of 379006771 is about 19468.0962346091. The cubic root of 379006771 is about 723.6840311823.

The spelling of 379006771 in words is "three hundred seventy-nine million, six thousand, seven hundred seventy-one".

Divisors: 1 11 13 29 143 319 377 4147 91393 1005323 1188109 2650397 13069199 29154367 34455161 379006771