Search a number
-
+
379048704 = 283736761
BaseRepresentation
bin10110100101111…
…101001100000000
3222102020200001220
4112211331030000
51234014024304
6101340155040
712251601156
oct2645751400
9872220056
10379048704
11184a659a1
12a6b38a80
13606b7198
14384ad3d6
1523425ad9
hex1697d300

379048704 has 72 divisors (see below), whose sum is σ = 1022793072. Its totient is φ = 124600320.

The previous prime is 379048679. The next prime is 379048753. The reversal of 379048704 is 407840973.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52684 + ... + 59444.

Almost surely, 2379048704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379048704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511396536).

379048704 is an abundant number, since it is smaller than the sum of its proper divisors (643744368).

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

379048704 is an equidigital number, since it uses as much as digits as its factorization.

379048704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 379048704 is about 19469.1731719660. The cubic root of 379048704 is about 723.7107194684.

The spelling of 379048704 in words is "three hundred seventy-nine million, forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 584 768 876 1168 1752 2336 3504 4672 6761 7008 9344 13522 14016 18688 20283 27044 28032 40566 54088 56064 81132 108176 162264 216352 324528 432704 493553 649056 865408 987106 1298112 1480659 1730816 1974212 2596224 2961318 3948424 5192448 5922636 7896848 11845272 15793696 23690544 31587392 47381088 63174784 94762176 126349568 189524352 379048704