Search a number
-
+
380338353 = 32142929573
BaseRepresentation
bin10110101010111…
…000000010110001
3222111200012010200
4112222320002301
51234331311403
6101423545413
712265552113
oct2652700261
9874605120
10380338353
1118576691a
12a745b269
1360a491a5
14387273b3
15235ccca3
hex16ab80b1

380338353 has 12 divisors (see below), whose sum is σ = 549780660. Its totient is φ = 253372896.

The previous prime is 380338339. The next prime is 380338381. The reversal of 380338353 is 353833083.

It can be written as a sum of positive squares in 2 ways, for example, as 37051569 + 343286784 = 6087^2 + 18528^2 .

It is not a de Polignac number, because 380338353 - 24 = 380338337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (380338313) 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 11 ways as a sum of consecutive naturals, for example, 1926 + ... + 27647.

It is an arithmetic number, because the mean of its divisors is an integer number (45815055).

Almost surely, 2380338353 is an apocalyptic number.

It is an amenable number.

380338353 is a deficient number, since it is larger than the sum of its proper divisors (169442307).

380338353 is a wasteful number, since it uses less digits than its factorization.

380338353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31008 (or 31005 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 380338353 is about 19502.2653299559. The cubic root of 380338353 is about 724.5305580888.

The spelling of 380338353 in words is "three hundred eighty million, three hundred thirty-eight thousand, three hundred fifty-three".

Divisors: 1 3 9 1429 4287 12861 29573 88719 266157 42259817 126779451 380338353