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380117808 = 24327439859
BaseRepresentation
bin10110101010000…
…010001100110000
3222111020222121100
4112222002030300
51234302232213
6101415124400
712263643120
oct2652021460
9874228540
10380117808
11185626154
12a7373700
136099c9a5
14386aac80
1523587773
hex16a82330

380117808 has 120 divisors (see below), whose sum is σ = 1219961600. Its totient is φ = 108231552.

The previous prime is 380117747. The next prime is 380117833. The reversal of 380117808 is 808711083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 442083 + ... + 442941.

Almost surely, 2380117808 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 380117808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609980800).

380117808 is an abundant number, since it is smaller than the sum of its proper divisors (839843792).

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

380117808 is a wasteful number, since it uses less digits than its factorization.

380117808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 380117808 is about 19496.6101668982. The cubic root of 380117808 is about 724.3904876432.

It can be divided in two parts, 3801 and 17808, that added together give a square (21609 = 1472).

The spelling of 380117808 in words is "three hundred eighty million, one hundred seventeen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 439 504 859 878 1008 1317 1718 1756 2577 2634 3073 3436 3512 3951 5154 5268 6013 6146 6872 7024 7731 7902 9219 10308 10536 12026 12292 13744 15462 15804 18039 18438 20616 21072 24052 24584 27657 30924 31608 36078 36876 41232 48104 49168 54117 55314 61848 63216 72156 73752 96208 108234 110628 123696 144312 147504 216468 221256 288624 377101 432936 442512 754202 865872 1131303 1508404 2262606 2639707 3016808 3393909 4525212 5279414 6033616 6787818 7919121 9050424 10558828 13575636 15838242 18100848 21117656 23757363 27151272 31676484 42235312 47514726 54302544 63352968 95029452 126705936 190058904 380117808