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380402217 = 331317371723
BaseRepresentation
bin10110101011000…
…111101000101001
3222111210102202000
4112223013220221
51234340332332
6101425201213
712266236236
oct2653075051
9874712660
10380402217
111857aa8a8
12a7490209
1360a6c290
143874278d
15235e1b7c
hex16ac7a29

380402217 has 64 divisors (see below), whose sum is σ = 660360960. Its totient is φ = 214244352.

The previous prime is 380402213. The next prime is 380402257. The reversal of 380402217 is 712204083.

It is not a de Polignac number, because 380402217 - 22 = 380402213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (380402213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219918 + ... + 221640.

It is an arithmetic number, because the mean of its divisors is an integer number (10318140).

Almost surely, 2380402217 is an apocalyptic number.

380402217 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

380402217 is a deficient number, since it is larger than the sum of its proper divisors (279958743).

380402217 is a wasteful number, since it uses less digits than its factorization.

380402217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 380402217 is about 19503.9026094779. The cubic root of 380402217 is about 724.5711086754.

The spelling of 380402217 in words is "three hundred eighty million, four hundred two thousand, two hundred seventeen".

Divisors: 1 3 9 13 17 27 37 39 51 111 117 153 221 333 351 459 481 629 663 999 1443 1723 1887 1989 4329 5169 5661 5967 8177 12987 15507 16983 22399 24531 29291 46521 63751 67197 73593 87873 191253 201591 220779 263619 380783 573759 604773 790857 828763 1083767 1142349 1721277 2486289 3251301 3427047 7458867 9753903 10281141 14088971 22376601 29261709 42266913 126800739 380402217