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380766208 = 211892089
BaseRepresentation
bin10110101100100…
…000100000000000
3222112110221001011
4112230200200000
51234434004313
6101441050304
712302313364
oct2654404000
9875427034
10380766208
11185a29319
12a7626994
1360b68b64
14387d92a4
152366493d
hex16b20800

380766208 has 48 divisors (see below), whose sum is σ = 770269500. Its totient is φ = 188153856.

The previous prime is 380766203. The next prime is 380766229. The reversal of 380766208 is 802667083.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 379782144 + 984064 = 19488^2 + 992^2 .

It is not an unprimeable number, because it can be changed into a prime (380766203) 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, 181228 + ... + 183316.

Almost surely, 2380766208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385134750).

380766208 is an abundant number, since it is smaller than the sum of its proper divisors (389503292).

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

380766208 is an equidigital number, since it uses as much as digits as its factorization.

380766208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 380766208 is about 19513.2316134463. The cubic root of 380766208 is about 724.8021389512.

The spelling of 380766208 in words is "three hundred eighty million, seven hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2048 2089 2848 4178 5696 8356 11392 16712 22784 33424 45568 66848 91136 133696 182272 185921 267392 371842 534784 743684 1069568 1487368 2139136 2974736 4278272 5949472 11898944 23797888 47595776 95191552 190383104 380766208