Search a number
-
+
2412400344 = 233100516681
BaseRepresentation
bin1000111111001010…
…0100111011011000
320020010100122010220
42033302210323120
514420033302334
61035214040040
7113532031104
oct21762447330
96203318126
102412400344
1110288120a2
12573aa9020
132c5a3ac33
1418c56a904
15e1bc5449
hex8fca4ed8

2412400344 has 16 divisors (see below), whose sum is σ = 6031000920. Its totient is φ = 804133440.

The previous prime is 2412400343. The next prime is 2412400369. The reversal of 2412400344 is 4430042142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 100516681 = 2412400344 / (2 + 4 + 1 + 2 + 4 + 0 + 0 + 3 + 4 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412400343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50258317 + ... + 50258364.

Almost surely, 22412400344 is an apocalyptic number.

2412400344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2412400344 is an abundant number, since it is smaller than the sum of its proper divisors (3618600576).

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

2412400344 is a wasteful number, since it uses less digits than its factorization.

2412400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100516690 (or 100516686 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2412400344 is about 49116.1922791252. The cubic root of 2412400344 is about 1341.1678287360.

Adding to 2412400344 its reverse (4430042142), we get a palindrome (6842442486).

The spelling of 2412400344 in words is "two billion, four hundred twelve million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 100516681 201033362 301550043 402066724 603100086 804133448 1206200172 2412400344