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379828240 = 245111922717
BaseRepresentation
bin10110101000111…
…011100000010000
3222110201021101121
4112220323200100
51234214000430
6101405012024
712261325651
oct2650734020
9873637347
10379828240
11185448640
12a7254014
13608cac4c
1438633528
152352ba7a
hex16a3b810

379828240 has 80 divisors (see below), whose sum is σ = 1014131520. Its totient is φ = 130844160.

The previous prime is 379828231. The next prime is 379828249. The reversal of 379828240 is 42828973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (379828231) and next prime (379828249).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (379828249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5362 + ... + 28078.

It is an arithmetic number, because the mean of its divisors is an integer number (12676644).

Almost surely, 2379828240 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 379828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507065760).

379828240 is an abundant number, since it is smaller than the sum of its proper divisors (634303280).

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

379828240 is a wasteful number, since it uses less digits than its factorization.

379828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22760 (or 22754 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 379828240 is about 19489.1826406343. The cubic root of 379828240 is about 724.2064976740.

The spelling of 379828240 in words is "three hundred seventy-nine million, eight hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 22717 45434 90868 113585 181736 227170 249887 363472 431623 454340 499774 863246 908680 999548 1249435 1726492 1817360 1999096 2158115 2498870 3452984 3998192 4316230 4747853 4997740 6905968 8632460 9495706 9995480 17264920 18991412 19990960 23739265 34529840 37982824 47478530 75965648 94957060 189914120 379828240