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380305217 = 29413171009
BaseRepresentation
bin10110101010101…
…111111101000001
3222111121111200102
4112222233331001
51234324231332
6101423132145
712265353365
oct2652577501
9874544612
10380305217
11185743a36
12a7444055
1360a37096
14387192a5
15235c3062
hex16aaff41

380305217 has 16 divisors (see below), whose sum is σ = 404686800. Its totient is φ = 356751360.

The previous prime is 380305193. The next prime is 380305223. The reversal of 380305217 is 712503083.

It can be written as a sum of positive squares in 8 ways, for example, as 136445761 + 243859456 = 11681^2 + 15616^2 .

It is a cyclic number.

It is not a de Polignac number, because 380305217 - 224 = 363528001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 380305217.

It is not an unprimeable number, because it can be changed into a prime (380305817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376409 + ... + 377417.

It is an arithmetic number, because the mean of its divisors is an integer number (25292925).

Almost surely, 2380305217 is an apocalyptic number.

It is an amenable number.

380305217 is a deficient number, since it is larger than the sum of its proper divisors (24381583).

380305217 is a wasteful number, since it uses less digits than its factorization.

380305217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 380305217 is about 19501.4157691179. The cubic root of 380305217 is about 724.5095165244.

The spelling of 380305217 in words is "three hundred eighty million, three hundred five thousand, two hundred seventeen".

Divisors: 1 29 41 317 1009 1189 9193 12997 29261 41369 319853 376913 1199701 9275737 13113973 380305217