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42300000324 = 22323731756757
BaseRepresentation
bin100111011001010001…
…101100100001000100
311001011221220122210200
4213121101230201010
51143112300002244
631233215450500
73025143033051
oct473121544104
9131157818720
1042300000324
1116a3727a35a
128246226a30
133cb17278ba
142093c3a028
1511788a8669
hex9d946c844

42300000324 has 36 divisors (see below), whose sum is σ = 109814869164. Its totient is φ = 13718918592.

The previous prime is 42300000293. The next prime is 42300000349.

42300000324 is a `hidden beast` number, since 42 + 300 + 0 + 0 + 0 + 324 = 666.

42300000324 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 25818062400 + 16481937924 = 160680^2 + 128382^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 42300000297 and 42300000306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15877047 + ... + 15879710.

Almost surely, 242300000324 is an apocalyptic number.

It is an amenable number.

42300000324 is an abundant number, since it is smaller than the sum of its proper divisors (67514868840).

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

42300000324 is a wasteful number, since it uses less digits than its factorization.

42300000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31756804 (or 31756799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 42300000 and 324, that added together give a palindrome (42300324).

The spelling of 42300000324 in words is "forty-two billion, three hundred million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 31756757 63513514 95270271 127027028 190540542 285810813 381081084 571621626 1143243252 1175000009 2350000018 3525000027 4700000036 7050000054 10575000081 14100000108 21150000162 42300000324