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384201641 = 19471812377
BaseRepresentation
bin10110111001100…
…111001110101001
3222202221110120102
4112321213032221
51241323423031
6102042435145
712343442255
oct2671471651
9882843512
10384201641
1118796541a
12a8802ab5
136179c765
1439051265
1523ae27cb
hex16e673a9

384201641 has 16 divisors (see below), whose sum is σ = 415484160. Its totient is φ = 354119040.

The previous prime is 384201619. The next prime is 384201691. The reversal of 384201641 is 146102483.

It is a cyclic number.

It is not a de Polignac number, because 384201641 - 214 = 384185257 is a prime.

It is a super-2 number, since 2×3842016412 = 295221801894185762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384201691) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 160445 + ... + 162821.

It is an arithmetic number, because the mean of its divisors is an integer number (25967760).

Almost surely, 2384201641 is an apocalyptic number.

It is an amenable number.

384201641 is a deficient number, since it is larger than the sum of its proper divisors (31282519).

384201641 is a wasteful number, since it uses less digits than its factorization.

384201641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 384201641 is about 19601.0622416235. The cubic root of 384201641 is about 726.9754391808.

The spelling of 384201641 in words is "three hundred eighty-four million, two hundred one thousand, six hundred forty-one".

Divisors: 1 19 47 181 893 2377 3439 8507 45163 111719 161633 430237 2122661 8174503 20221139 384201641