Search a number
-
+
210041344 = 292771481
BaseRepresentation
bin11001000010011…
…11101000000000
3112122020012120001
430201033220000
5412232310334
632501525344
75130215302
oct1441175000
9478205501
10210041344
11a8621197
125a413854
1334691926
141dc77972
151368e714
hexc84fa00

210041344 has 40 divisors (see below), whose sum is σ = 421471908. Its totient is φ = 104570880.

The previous prime is 210041309. The next prime is 210041389. The reversal of 210041344 is 443140012.

210041344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 200505600 + 9535744 = 14160^2 + 3088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141084 + ... + 142564.

Almost surely, 2210041344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210735954).

210041344 is an abundant number, since it is smaller than the sum of its proper divisors (211430564).

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

210041344 is an equidigital number, since it uses as much as digits as its factorization.

210041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 210041344 is about 14492.8031795095. The cubic root of 210041344 is about 594.4311999404.

Adding to 210041344 its reverse (443140012), we get a palindrome (653181356).

The spelling of 210041344 in words is "two hundred ten million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 277 512 554 1108 1481 2216 2962 4432 5924 8864 11848 17728 23696 35456 47392 70912 94784 141824 189568 379136 410237 758272 820474 1640948 3281896 6563792 13127584 26255168 52510336 105020672 210041344