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2124324 = 223259009
BaseRepresentation
bin1000000110101000100100
310222221000200
420012220210
51020434244
6113310500
724025236
oct10065044
93887020
102124324
111221044
12865430
13594bc7
143d4256
152be669
hex206a24

2124324 has 18 divisors (see below), whose sum is σ = 5369910. Its totient is φ = 708096.

The previous prime is 2124323. The next prime is 2124359. The reversal of 2124324 is 4234212.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 381924 = 1320^2 + 618^2 .

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 (18).

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

It is a d-powerful number, because it can be written as 2 + 1 + 27 + 46 + 38 + 221 + 47 .

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2124297 and 2124306.

It is not an unprimeable number, because it can be changed into a prime (2124323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29469 + ... + 29540.

22124324 is an apocalyptic number.

It is an amenable number.

2124324 is an abundant number, since it is smaller than the sum of its proper divisors (3245586).

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

2124324 is a wasteful number, since it uses less digits than its factorization.

2124324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59019 (or 59014 counting only the distinct ones).

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

The square root of 2124324 is about 1457.5060891811. The cubic root of 2124324 is about 128.5504452529.

Adding to 2124324 its reverse (4234212), we get a palindrome (6358536).

The spelling of 2124324 in words is "two million, one hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59009 118018 177027 236036 354054 531081 708108 1062162 2124324