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368368541 is a prime number
BaseRepresentation
bin10101111101001…
…101101110011101
3221200011001122022
4111331031232131
51223300243131
6100315225525
712062036522
oct2575155635
9850131568
10368368541
11179a30812
12a34482a5
135b417b68
1436ccd149
152251637b
hex15f4db9d

368368541 has 2 divisors, whose sum is σ = 368368542. Its totient is φ = 368368540.

The previous prime is 368368531. The next prime is 368368589. The reversal of 368368541 is 145863863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 337787641 + 30580900 = 18379^2 + 5530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-368368541 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 368368492 and 368368501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (368368531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 184184270 + 184184271.

It is an arithmetic number, because the mean of its divisors is an integer number (184184271).

Almost surely, 2368368541 is an apocalyptic number.

It is an amenable number.

368368541 is a deficient number, since it is larger than the sum of its proper divisors (1).

368368541 is an equidigital number, since it uses as much as digits as its factorization.

368368541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 414720, while the sum is 44.

The square root of 368368541 is about 19192.9294533169. The cubic root of 368368541 is about 716.8487154127.

The spelling of 368368541 in words is "three hundred sixty-eight million, three hundred sixty-eight thousand, five hundred forty-one".