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324400144 = 24160912601
BaseRepresentation
bin10011010101011…
…111010000010000
3211121102020100011
4103111133100100
51131021301034
652105004304
711016233005
oct2325372020
9747366304
10324400144
1115712a6a2
1290783694
1352291c63
14311258ac
151d72d864
hex1355f410

324400144 has 20 divisors (see below), whose sum is σ = 628965820. Its totient is φ = 162086400.

The previous prime is 324400117. The next prime is 324400199. The reversal of 324400144 is 441004423.

It can be written as a sum of positive squares in 2 ways, for example, as 236790544 + 87609600 = 15388^2 + 9360^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19444 + ... + 32044.

It is an arithmetic number, because the mean of its divisors is an integer number (31448291).

Almost surely, 2324400144 is an apocalyptic number.

It is an amenable number.

324400144 is a deficient number, since it is larger than the sum of its proper divisors (304565676).

324400144 is a wasteful number, since it uses less digits than its factorization.

324400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14218 (or 14212 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 324400144 is about 18011.1116814038. Note that the first 3 decimals coincide. The cubic root of 324400144 is about 687.1111764574. Note that the first 4 decimals are identical.

Adding to 324400144 its reverse (441004423), we get a palindrome (765404567).

The spelling of 324400144 in words is "three hundred twenty-four million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 1609 3218 6436 12601 12872 25202 25744 50404 100808 201616 20275009 40550018 81100036 162200072 324400144