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383864112 = 243223115901
BaseRepresentation
bin10110111000010…
…100110100110000
3222202022022120100
4112320110310300
51241232122422
6102031312400
712340535232
oct2670246460
9882268510
10383864112
11187754875
12a867b700
13616b1c38
1438da4252
1523a777ac
hex16e14d30

383864112 has 60 divisors (see below), whose sum is σ = 1121004144. Its totient is φ = 122390400.

The previous prime is 383864111. The next prime is 383864113. The reversal of 383864112 is 211468383.

383864112 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 641 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (383864111) and next prime (383864113).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383864111) 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 11 ways as a sum of consecutive naturals, for example, 54639 + ... + 61262.

Almost surely, 2383864112 is an apocalyptic number.

It is an amenable number.

383864112 is an abundant number, since it is smaller than the sum of its proper divisors (737140032).

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

383864112 is a wasteful number, since it uses less digits than its factorization.

383864112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115938 (or 115929 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 383864112 is about 19592.4503827367. The cubic root of 383864112 is about 726.7624892107.

The spelling of 383864112 in words is "three hundred eighty-three million, eight hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 115901 231802 347703 463604 695406 927208 1043109 1390812 1854416 2086218 2665723 2781624 4172436 5331446 5563248 7997169 8344872 10662892 15994338 16689744 21325784 23991507 31988676 42651568 47983014 63977352 95966028 127954704 191932056 383864112