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384000037 is a prime number
BaseRepresentation
bin10110111000110…
…110000000100101
3222202120020000121
4112320312000211
51241301000122
6102034241541
712341642431
oct2670660045
9882506017
10384000037
11187837a03
12a87262b1
136172ba75
1438ddb9c1
1523aa2bc7
hex16e36025

384000037 has 2 divisors, whose sum is σ = 384000038. Its totient is φ = 384000036.

The previous prime is 384000031. The next prime is 384000053. The reversal of 384000037 is 730000483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272613121 + 111386916 = 16511^2 + 10554^2 .

It is an emirp because it is prime and its reverse (730000483) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-384000037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 383999975 and 384000020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (384000031) 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 as a sum of consecutive naturals, namely, 192000018 + 192000019.

It is an arithmetic number, because the mean of its divisors is an integer number (192000019).

Almost surely, 2384000037 is an apocalyptic number.

It is an amenable number.

384000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

384000037 is an equidigital number, since it uses as much as digits as its factorization.

384000037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 384000037 is about 19595.9188863396. The cubic root of 384000037 is about 726.8482604778.

The spelling of 384000037 in words is "three hundred eighty-four million, thirty-seven", and thus it is an aban number.