Search a number
-
+
382245341 is a prime number
BaseRepresentation
bin10110110010001…
…001100111011101
3222122021002000212
4112302021213131
51240323322331
6101532502205
712321013622
oct2662114735
9878232025
10382245341
11186849645
12a801a965
136126619a
1438aa2349
1523857d2b
hex16c899dd

382245341 has 2 divisors, whose sum is σ = 382245342. Its totient is φ = 382245340.

The previous prime is 382245271. The next prime is 382245343. The reversal of 382245341 is 143542283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317908900 + 64336441 = 17830^2 + 8021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-382245341 is a prime.

It is a super-2 number, since 2×3822453412 = 292223001432412562, which contains 22 as substring.

Together with 382245343, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 382245298 and 382245307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382245343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191122670 + 191122671.

It is an arithmetic number, because the mean of its divisors is an integer number (191122671).

Almost surely, 2382245341 is an apocalyptic number.

It is an amenable number.

382245341 is a deficient number, since it is larger than the sum of its proper divisors (1).

382245341 is an equidigital number, since it uses as much as digits as its factorization.

382245341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23040, while the sum is 32.

The square root of 382245341 is about 19551.0956470475. The cubic root of 382245341 is about 725.7394538711.

The spelling of 382245341 in words is "three hundred eighty-two million, two hundred forty-five thousand, three hundred forty-one".