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423231300 = 2232524211117
BaseRepresentation
bin11001001110011…
…111111101000100
31002111101101012100
4121032133331010
51331321400200
6105555152100
713326256332
oct3116377504
91074341170
10423231300
111a79a2a38
12b98a5630
13698b672b
14402d0b52
1527251d00
hex1939ff44

423231300 has 108 divisors (see below), whose sum is σ = 1330936516. Its totient is φ = 112492800.

The previous prime is 423231299. The next prime is 423231301. The reversal of 423231300 is 3132324.

423231300 is a `hidden beast` number, since 42 + 323 + 1 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (423231299) and next prime (423231301).

It can be written as a sum of positive squares in 6 ways, for example, as 212226624 + 211004676 = 14568^2 + 14526^2 .

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

It is not an unprimeable number, because it can be changed into a prime (423231301) 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 35 ways as a sum of consecutive naturals, for example, 378342 + ... + 379458.

Almost surely, 2423231300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665468258).

423231300 is an abundant number, since it is smaller than the sum of its proper divisors (907705216).

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

423231300 is a wasteful number, since it uses less digits than its factorization.

423231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 423231300 is about 20572.5861281464. The cubic root of 423231300 is about 750.8028735521.

Adding to 423231300 its reverse (3132324), we get a palindrome (426363624).

The spelling of 423231300 in words is "four hundred twenty-three million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 421 450 842 900 1117 1263 1684 2105 2234 2526 3351 3789 4210 4468 5052 5585 6315 6702 7578 8420 10053 10525 11170 12630 13404 15156 16755 18945 20106 21050 22340 25260 27925 31575 33510 37890 40212 42100 50265 55850 63150 67020 75780 83775 94725 100530 111700 126300 167550 189450 201060 251325 335100 378900 470257 502650 940514 1005300 1410771 1881028 2351285 2821542 4232313 4702570 5643084 7053855 8464626 9405140 11756425 14107710 16929252 21161565 23512850 28215420 35269275 42323130 47025700 70538550 84646260 105807825 141077100 211615650 423231300