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380756224 = 289291601
BaseRepresentation
bin10110101100011…
…110000100000000
3222112110102100101
4112230132010000
51234433144344
6101440532144
712302242312
oct2654360400
9875412311
10380756224
11185a21872
12a7621054
1360b64454
14387d57b2
15236619d4
hex16b1e100

380756224 has 36 divisors (see below), whose sum is σ = 761318460. Its totient is φ = 190054400.

The previous prime is 380756213. The next prime is 380756227. The reversal of 380756224 is 422657083.

It can be written as a sum of positive squares in 2 ways, for example, as 207360000 + 173396224 = 14400^2 + 13168^2 .

It is a super-2 number, since 2×3807562242 = 289950604229476352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380756227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237024 + ... + 238624.

It is an arithmetic number, because the mean of its divisors is an integer number (21147735).

Almost surely, 2380756224 is an apocalyptic number.

It is an amenable number.

380756224 is a deficient number, since it is larger than the sum of its proper divisors (380562236).

380756224 is an equidigital number, since it uses as much as digits as its factorization.

380756224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 380756224 is about 19512.9757853588. The cubic root of 380756224 is about 724.7958039284.

It can be divided in two parts, 3807 and 56224, that added together give a triangular number (60031 = T346).

The spelling of 380756224 in words is "three hundred eighty million, seven hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 929 1601 1858 3202 3716 6404 7432 12808 14864 25616 29728 51232 59456 102464 118912 204928 237824 409856 1487329 2974658 5949316 11898632 23797264 47594528 95189056 190378112 380756224