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384629953 is a prime number
BaseRepresentation
bin10110111011001…
…111110011000001
3222210202020002211
4112323033303001
51241431124303
6102055542121
712350205061
oct2673176301
9883666084
10384629953
111881281a4
12a898a941
13618bc6b6
14391233a1
1523b7966d
hex16ecfcc1

384629953 has 2 divisors, whose sum is σ = 384629954. Its totient is φ = 384629952.

The previous prime is 384629923. The next prime is 384629983. The reversal of 384629953 is 359926483.

It is a balanced prime because it is at equal distance from previous prime (384629923) and next prime (384629983).

It can be written as a sum of positive squares in only one way, i.e., 374345104 + 10284849 = 19348^2 + 3207^2 .

It is a cyclic number.

It is not a de Polignac number, because 384629953 - 213 = 384621761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 384629897 and 384629906.

It is not a weakly prime, because it can be changed into another prime (384629923) 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 as a sum of consecutive naturals, namely, 192314976 + 192314977.

It is an arithmetic number, because the mean of its divisors is an integer number (192314977).

Almost surely, 2384629953 is an apocalyptic number.

It is an amenable number.

384629953 is a deficient number, since it is larger than the sum of its proper divisors (1).

384629953 is an equidigital number, since it uses as much as digits as its factorization.

384629953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1399680, while the sum is 49.

The square root of 384629953 is about 19611.9849326885. The cubic root of 384629953 is about 727.2454854583.

The spelling of 384629953 in words is "three hundred eighty-four million, six hundred twenty-nine thousand, nine hundred fifty-three".