Search a number
-
+
379820680 = 235311571951
BaseRepresentation
bin10110101000111…
…001101010001000
3222110200220000121
4112220321222020
51234213230210
6101404513024
712261264631
oct2650715210
9873626017
10379820680
11185442998
12a724b774
13608c7685
1438630888
15235296da
hex16a39a88

379820680 has 64 divisors (see below), whose sum is σ = 888238080. Its totient is φ = 146016000.

The previous prime is 379820657. The next prime is 379820687. The reversal of 379820680 is 86028973.

It is not an unprimeable number, because it can be changed into a prime (379820687) 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 15 ways as a sum of consecutive naturals, for example, 193705 + ... + 195655.

It is an arithmetic number, because the mean of its divisors is an integer number (13878720).

Almost surely, 2379820680 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 379820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444119040).

379820680 is an abundant number, since it is smaller than the sum of its proper divisors (508417400).

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

379820680 is a wasteful number, since it uses less digits than its factorization.

379820680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 379820680 is about 19488.9886859221. The cubic root of 379820680 is about 724.2016928378.

The spelling of 379820680 in words is "three hundred seventy-nine million, eight hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 157 248 310 314 620 628 785 1240 1256 1570 1951 3140 3902 4867 6280 7804 9734 9755 15608 19468 19510 24335 38936 39020 48670 60481 78040 97340 120962 194680 241924 302405 306307 483848 604810 612614 1209620 1225228 1531535 2419240 2450456 3063070 6126140 9495517 12252280 18991034 37982068 47477585 75964136 94955170 189910340 379820680