Search a number
-
+
405245329 is a prime number
BaseRepresentation
bin11000001001111…
…000110110010001
31001020112121002021
4120021320312101
51312220322304
6104113451441
713020346156
oct3011706621
91036477067
10405245329
111988288a5
12b3870b81
1365c59c48
143bb6c22d
152589ca54
hex18278d91

405245329 has 2 divisors, whose sum is σ = 405245330. Its totient is φ = 405245328.

The previous prime is 405245311. The next prime is 405245341. The reversal of 405245329 is 923542504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298598400 + 106646929 = 17280^2 + 10327^2 .

It is a cyclic number.

It is not a de Polignac number, because 405245329 - 29 = 405244817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405245294 and 405245303.

It is not a weakly prime, because it can be changed into another prime (405245359) 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, 202622664 + 202622665.

It is an arithmetic number, because the mean of its divisors is an integer number (202622665).

Almost surely, 2405245329 is an apocalyptic number.

It is an amenable number.

405245329 is a deficient number, since it is larger than the sum of its proper divisors (1).

405245329 is an equidigital number, since it uses as much as digits as its factorization.

405245329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 405245329 is about 20130.7061227370. The cubic root of 405245329 is about 740.0129830934.

The spelling of 405245329 in words is "four hundred five million, two hundred forty-five thousand, three hundred twenty-nine".