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380783208 = 233131498191
BaseRepresentation
bin10110101100100…
…100101001101000
3222112111210100210
4112230210221220
51234440030313
6101441301120
712302414061
oct2654445150
9875453323
10380783208
11185a40073
12a76347a0
1360b73810
1438801568
15236699c3
hex16b24a68

380783208 has 64 divisors (see below), whose sum is σ = 1032192000. Its totient is φ = 116363520.

The previous prime is 380783201. The next prime is 380783251. The reversal of 380783208 is 802387083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (380783201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42393 + ... + 50583.

It is an arithmetic number, because the mean of its divisors is an integer number (16128000).

Almost surely, 2380783208 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 380783208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516096000).

380783208 is an abundant number, since it is smaller than the sum of its proper divisors (651408792).

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

380783208 is a wasteful number, since it uses less digits than its factorization.

380783208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 380783208 is about 19513.6672104451. The cubic root of 380783208 is about 724.8129254940.

The spelling of 380783208 in words is "three hundred eighty million, seven hundred eighty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 149 156 298 312 447 596 894 1192 1788 1937 3576 3874 5811 7748 8191 11622 15496 16382 23244 24573 32764 46488 49146 65528 98292 106483 196584 212966 319449 425932 638898 851864 1220459 1277796 2440918 2555592 3661377 4881836 7322754 9763672 14645508 15865967 29291016 31731934 47597901 63463868 95195802 126927736 190391604 380783208