Search a number
-
+
379118208 = 2737141041
BaseRepresentation
bin10110100110001…
…110001010000000
3222102101012102010
4112212032022000
51234023240313
6101341452520
712252310620
oct2646161200
9872335363
10379118208
11185003137
12a6b71140
136070ca01
14384ca880
152343b4c3
hex1698e280

379118208 has 64 divisors (see below), whose sum is σ = 1150902720. Its totient is φ = 108318720.

The previous prime is 379118183. The next prime is 379118219. The reversal of 379118208 is 802811973.

379118208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 67833 + ... + 73208.

It is an arithmetic number, because the mean of its divisors is an integer number (17982855).

Almost surely, 2379118208 is an apocalyptic number.

It is an amenable number.

379118208 is an abundant number, since it is smaller than the sum of its proper divisors (771784512).

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

379118208 is a wasteful number, since it uses less digits than its factorization.

379118208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141065 (or 141053 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 379118208 is about 19470.9580657964. The cubic root of 379118208 is about 723.7549510014.

The spelling of 379118208 in words is "three hundred seventy-nine million, one hundred eighteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 141041 282082 423123 564164 846246 987287 1128328 1692492 1974574 2256656 2961861 3384984 3949148 4513312 5923722 6769968 7898296 9026624 11847444 13539936 15796592 18053248 23694888 27079872 31593184 47389776 54159744 63186368 94779552 126372736 189559104 379118208