Search a number
-
+
2904642329 is a prime number
BaseRepresentation
bin1010110100100001…
…0101001100011001
321111102121010012112
42231020111030121
521422042023304
61200120322105
7131660023661
oct25510251431
97442533175
102904642329
11126065a856
12690913335
13373a07a94
141d7aa31a1
15120009b6e
hexad215319

2904642329 has 2 divisors, whose sum is σ = 2904642330. Its totient is φ = 2904642328.

The previous prime is 2904642317. The next prime is 2904642341. The reversal of 2904642329 is 9232464092.

It is a balanced prime because it is at equal distance from previous prime (2904642317) and next prime (2904642341).

It can be written as a sum of positive squares in only one way, i.e., 2242969600 + 661672729 = 47360^2 + 25723^2 .

It is a cyclic number.

It is not a de Polignac number, because 2904642329 - 24 = 2904642313 is a prime.

It is a super-3 number, since 3×29046423293 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2904642229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1452321164 + 1452321165.

It is an arithmetic number, because the mean of its divisors is an integer number (1452321165).

Almost surely, 22904642329 is an apocalyptic number.

It is an amenable number.

2904642329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2904642329 is an equidigital number, since it uses as much as digits as its factorization.

2904642329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 2904642329 is about 53894.7337779861. The cubic root of 2904642329 is about 1426.8036795643.

The spelling of 2904642329 in words is "two billion, nine hundred four million, six hundred forty-two thousand, three hundred twenty-nine".