Search a number
-
+
419331 = 31197131
BaseRepresentation
bin1100110011000000011
3210022012210
41212120003
5101404311
612553203
73364353
oct1463003
9708183
10419331
11267060
12182803
13118b33
14acb63
15843a6
hex66603

419331 has 16 divisors (see below), whose sum is σ = 620928. Its totient is φ = 249600.

The previous prime is 419329. The next prime is 419351. The reversal of 419331 is 133914.

It is not a de Polignac number, because 419331 - 21 = 419329 is a prime.

It is a super-2 number, since 2×4193312 = 351676975122, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 419298 and 419307.

It is not an unprimeable number, because it can be changed into a prime (419351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3136 + ... + 3266.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2419331 is an apocalyptic number.

419331 is a deficient number, since it is larger than the sum of its proper divisors (201597).

419331 is a wasteful number, since it uses less digits than its factorization.

419331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242.

The product of its digits is 324, while the sum is 21.

The square root of 419331 is about 647.5577194351. The cubic root of 419331 is about 74.8489403953.

It can be divided in two parts, 4193 and 31, that added together give a palindrome (4224).

The spelling of 419331 in words is "four hundred nineteen thousand, three hundred thirty-one".

Divisors: 1 3 11 33 97 131 291 393 1067 1441 3201 4323 12707 38121 139777 419331