Search a number
-
+
380584840 = 2359514621
BaseRepresentation
bin10110101011110…
…100001110001000
3222112010201020211
4112223310032020
51234412203330
6101433130504
712300626536
oct2653641610
9875121224
10380584840
11185915029
12a7559a34
1360b0443c
143878d156
152362ad2a
hex16af4388

380584840 has 16 divisors (see below), whose sum is σ = 856315980. Its totient is φ = 152233920.

The previous prime is 380584829. The next prime is 380584847. The reversal of 380584840 is 48485083.

It can be written as a sum of positive squares in 2 ways, for example, as 376592836 + 3992004 = 19406^2 + 1998^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 9514621 = 380584840 / (3 + 8 + 0 + 5 + 8 + 4 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 380584793 and 380584802.

It is not an unprimeable number, because it can be changed into a prime (380584847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4757271 + ... + 4757350.

Almost surely, 2380584840 is an apocalyptic number.

It is an amenable number.

380584840 is an abundant number, since it is smaller than the sum of its proper divisors (475731140).

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

380584840 is a wasteful number, since it uses less digits than its factorization.

380584840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514632 (or 9514628 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 380584840 is about 19508.5837517745. The cubic root of 380584840 is about 724.6870405094.

The spelling of 380584840 in words is "three hundred eighty million, five hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 9514621 19029242 38058484 47573105 76116968 95146210 190292420 380584840