Search a number
-
+
2414466324 = 223267068509
BaseRepresentation
bin1000111111101001…
…1101010100010100
320020021020121010200
42033322131110110
514421100410244
61035330220500
7113555424264
oct21772352424
96207217120
102414466324
1110299a3316
12574724730
132c62b23ca
1418c9477a4
15e1e82669
hex8fe9d514

2414466324 has 18 divisors (see below), whose sum is σ = 6103234410. Its totient is φ = 804822096.

The previous prime is 2414466323. The next prime is 2414466349. The reversal of 2414466324 is 4236644142.

2414466324 is a `hidden beast` number, since 2 + 4 + 14 + 4 + 6 + 632 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1460768400 + 953697924 = 38220^2 + 30882^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 67068509 = 2414466324 / (2 + 4 + 1 + 4 + 4 + 6 + 6 + 3 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414466323) 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 5 ways as a sum of consecutive naturals, for example, 33534219 + ... + 33534290.

Almost surely, 22414466324 is an apocalyptic number.

It is an amenable number.

2414466324 is an abundant number, since it is smaller than the sum of its proper divisors (3688768086).

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

2414466324 is a wasteful number, since it uses less digits than its factorization.

2414466324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67068519 (or 67068514 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2414466324 is about 49137.2193352453. The cubic root of 2414466324 is about 1341.5505782680.

The spelling of 2414466324 in words is "two billion, four hundred fourteen million, four hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67068509 134137018 201205527 268274036 402411054 603616581 804822108 1207233162 2414466324