Search a number
-
+
415304331 = 31329367201
BaseRepresentation
bin11000110000010…
…000101010001011
31001221110122102220
4120300100222023
51322304214311
6105113225123
713202012541
oct3060205213
91057418386
10415304331
111a3479322
12b71021a3
136806c610
143d229d91
15266d8206
hex18c10a8b

415304331 has 16 divisors (see below), whose sum is σ = 616899360. Its totient is φ = 246758400.

The previous prime is 415304321. The next prime is 415304333. The reversal of 415304331 is 133403514.

It is a happy number.

It is not a de Polignac number, because 415304331 - 213 = 415296139 is a prime.

It is a super-2 number, since 2×4153043312 = 344955374694715122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415304333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182470 + ... + 184731.

It is an arithmetic number, because the mean of its divisors is an integer number (38556210).

Almost surely, 2415304331 is an apocalyptic number.

415304331 is a deficient number, since it is larger than the sum of its proper divisors (201595029).

415304331 is a wasteful number, since it uses less digits than its factorization.

415304331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367246.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 415304331 is about 20379.0169291848. The cubic root of 415304331 is about 746.0858786293.

Adding to 415304331 its reverse (133403514), we get a palindrome (548707845).

The spelling of 415304331 in words is "four hundred fifteen million, three hundred four thousand, three hundred thirty-one".

Divisors: 1 3 13 29 39 87 377 1131 367201 1101603 4773613 10648829 14320839 31946487 138434777 415304331