Search a number
-
+
419348484 = 223234132
BaseRepresentation
bin11000111111101…
…100000000000100
31002020002002222100
4120333230000010
51324323122414
6105340032100
713251255222
oct3077540004
91066062870
10419348484
111a57907a5
12b8532630
1368b572c9
143d99db12
1526c36609
hex18fec004

419348484 has 27 divisors (see below), whose sum is σ = 1060330453. Its totient is φ = 139741872.

The previous prime is 419348473. The next prime is 419348543. The reversal of 419348484 is 484843914.

The square root of 419348484 is 20478.

It is a perfect power (a square), and thus also a powerful number.

419348484 is a `hidden beast` number, since 4 + 1 + 93 + 484 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 395612100 + 23736384 = 19890^2 + 4872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121162 + ... + 124574.

Almost surely, 2419348484 is an apocalyptic number.

419348484 is the 20478-th square number.

It is an amenable number.

419348484 is an abundant number, since it is smaller than the sum of its proper divisors (640981969).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

419348484 is an equidigital number, since it uses as much as digits as its factorization.

419348484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6836 (or 3418 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The cubic root of 419348484 is about 748.4998065603.

The spelling of 419348484 in words is "four hundred nineteen million, three hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3413 6826 10239 13652 20478 30717 40956 61434 122868 11648569 23297138 34945707 46594276 69891414 104837121 139782828 209674242 419348484