Search a number
-
+
2321000424 = 233232236117
BaseRepresentation
bin1000101001010111…
…1010011111101000
312222202101001000200
42022111322133220
514223134003144
61022151032200
7111342115041
oct21225723750
95882331020
102321000424
11a91164a76
1254936b660
132acb18a42
141803778c8
15d8b6dc69
hex8a57a7e8

2321000424 has 24 divisors (see below), whose sum is σ = 6286043010. Its totient is φ = 773666784.

The previous prime is 2321000401. The next prime is 2321000441. The reversal of 2321000424 is 4240001232.

2321000424 is a `hidden beast` number, since 232 + 10 + 0 + 0 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1404000900 + 916999524 = 37470^2 + 30282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2321000397 and 2321000406.

It is an unprimeable number.

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, 16117987 + ... + 16118130.

Almost surely, 22321000424 is an apocalyptic number.

2321000424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2321000424 is an abundant number, since it is smaller than the sum of its proper divisors (3965042586).

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

2321000424 is a wasteful number, since it uses less digits than its factorization.

2321000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32236129 (or 32236122 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2321000424 is about 48176.7622822456. The cubic root of 2321000424 is about 1324.0114471009.

Adding to 2321000424 its reverse (4240001232), we get a palindrome (6561001656).

The spelling of 2321000424 in words is "two billion, three hundred twenty-one million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 32236117 64472234 96708351 128944468 193416702 257888936 290125053 386833404 580250106 773666808 1160500212 2321000424