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380960200 = 23526532917
BaseRepresentation
bin10110101101001…
…111110111001000
3222112211210011001
4112231033313020
51240011211300
6101445144344
712304052065
oct2655176710
9875753131
10380960200
11186051045
12a76bb0b4
1360c0624a
1438849c6c
15236a216a
hex16b4fdc8

380960200 has 48 divisors (see below), whose sum is σ = 887392980. Its totient is φ = 152098560.

The previous prime is 380960197. The next prime is 380960231. The reversal of 380960200 is 2069083.

It can be written as a sum of positive squares in 6 ways, for example, as 225060004 + 155900196 = 15002^2 + 12486^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 129142 + ... + 132058.

Almost surely, 2380960200 is an apocalyptic number.

It is an amenable number.

380960200 is an abundant number, since it is smaller than the sum of its proper divisors (506432780).

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

380960200 is a wasteful number, since it uses less digits than its factorization.

380960200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 380960200 is about 19518.2017614328. The cubic root of 380960200 is about 724.9252082974.

It can be divided in two parts, 3809 and 60200, that added together give a square (64009 = 2532).

The spelling of 380960200 in words is "three hundred eighty million, nine hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 653 1306 2612 2917 3265 5224 5834 6530 11668 13060 14585 16325 23336 26120 29170 32650 58340 65300 72925 116680 130600 145850 291700 583400 1904801 3809602 7619204 9524005 15238408 19048010 38096020 47620025 76192040 95240050 190480100 380960200