Search a number
-
+
379000980 = 2232519110819
BaseRepresentation
bin10110100101110…
…001100010010100
3222102011020121100
4112211301202110
51234011012410
6101335150100
712251312061
oct2645614224
9872136540
10379000980
11184a33056
12a6b15330
136069b547
1438499c68
15234168c0
hex16971894

379000980 has 72 divisors (see below), whose sum is σ = 1210154400. Its totient is φ = 95746752.

The previous prime is 379000949. The next prime is 379000981. The reversal of 379000980 is 89000973.

379000980 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

379000980 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379000981) 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 23 ways as a sum of consecutive naturals, for example, 51990 + ... + 58829.

It is an arithmetic number, because the mean of its divisors is an integer number (16807700).

Almost surely, 2379000980 is an apocalyptic number.

379000980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379000980 is an abundant number, since it is smaller than the sum of its proper divisors (831153420).

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

379000980 is a wasteful number, since it uses less digits than its factorization.

379000980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110853 (or 110848 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 379000980 is about 19467.9475035249. The cubic root of 379000980 is about 723.6803453418.

The spelling of 379000980 in words is "three hundred seventy-nine million, nine hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 110819 221638 332457 443276 554095 664914 997371 1108190 1329828 1662285 1994742 2105561 2216380 3324570 3989484 4211122 4986855 6316683 6649140 8422244 9973710 10527805 12633366 18950049 19947420 21055610 25266732 31583415 37900098 42111220 63166830 75800196 94750245 126333660 189500490 379000980