Search a number
-
+
312144404 = 2211132292383
BaseRepresentation
bin10010100110101…
…111001000010100
3210202100120121212
4102212233020110
51114402110104
650550200552
710510116665
oct2246571024
9722316555
10312144404
11150219790
1288653158
134c890740
142d65536c
151c60c36e
hex129af214

312144404 has 48 divisors (see below), whose sum is σ = 644824320. Its totient is φ = 130343040.

The previous prime is 312144383. The next prime is 312144409. The reversal of 312144404 is 404441213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312144404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312144409) 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 in 15 ways as a sum of consecutive naturals, for example, 129797 + ... + 132179.

It is an arithmetic number, because the mean of its divisors is an integer number (13433840).

Almost surely, 2312144404 is an apocalyptic number.

It is an amenable number.

312144404 is an abundant number, since it is smaller than the sum of its proper divisors (332679916).

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

312144404 is a wasteful number, since it uses less digits than its factorization.

312144404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 312144404 is about 17667.6088931128. The cubic root of 312144404 is about 678.3469101768.

Adding to 312144404 its reverse (404441213), we get a palindrome (716585617).

The spelling of 312144404 in words is "three hundred twelve million, one hundred forty-four thousand, four hundred four".

Divisors: 1 2 4 11 13 22 26 44 52 143 229 286 458 572 916 2383 2519 2977 4766 5038 5954 9532 10076 11908 26213 30979 32747 52426 61958 65494 104852 123916 130988 340769 545707 681538 1091414 1363076 2182828 6002777 7094191 12005554 14188382 24011108 28376764 78036101 156072202 312144404