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380407329 = 3256537477
BaseRepresentation
bin10110101011001…
…000111000100001
3222111210200202100
4112223020320201
51234341013304
6101425241013
712266260161
oct2653107041
9874720670
10380407329
11185803725
12a7493169
1360a716c3
14387445a1
15235e3439
hex16ac8e21

380407329 has 12 divisors (see below), whose sum is σ = 549647956. Its totient is φ = 253526112.

The previous prime is 380407301. The next prime is 380407337. The reversal of 380407329 is 923704083.

It can be written as a sum of positive squares in 2 ways, for example, as 336649104 + 43758225 = 18348^2 + 6615^2 .

It is not a de Polignac number, because 380407329 - 28 = 380407073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 380407293 and 380407302.

It is not an unprimeable number, because it can be changed into a prime (380407229) 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, 47139 + ... + 54615.

Almost surely, 2380407329 is an apocalyptic number.

It is an amenable number.

380407329 is a deficient number, since it is larger than the sum of its proper divisors (169240627).

380407329 is a wasteful number, since it uses less digits than its factorization.

380407329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 13133 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 380407329 is about 19504.0336597331. The cubic root of 380407329 is about 724.5743543548.

It can be divided in two parts, 38040 and 7329, that added together give a square (45369 = 2132).

The spelling of 380407329 in words is "three hundred eighty million, four hundred seven thousand, three hundred twenty-nine".

Divisors: 1 3 9 5653 7477 16959 22431 50877 67293 42267481 126802443 380407329