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430166044 = 227113145053
BaseRepresentation
bin11001101000111…
…101000000011100
31002222102200212201
4121220331000130
51340110303134
6110403541244
713442231260
oct3150750034
91088380781
10430166044
112008aa130
1210008a824
136b174029
14411b80a0
1527b71914
hex19a3d01c

430166044 has 48 divisors (see below), whose sum is σ = 968841216. Its totient is φ = 162187200.

The previous prime is 430166039. The next prime is 430166047. The reversal of 430166044 is 440661034.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430166047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12979 + ... + 32074.

It is an arithmetic number, because the mean of its divisors is an integer number (20184192).

Almost surely, 2430166044 is an apocalyptic number.

430166044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

430166044 is an abundant number, since it is smaller than the sum of its proper divisors (538675172).

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

430166044 is a wasteful number, since it uses less digits than its factorization.

430166044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45106 (or 45104 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 430166044 is about 20740.4446432568. Note that the first 3 decimals coincide. The cubic root of 430166044 is about 754.8813719440.

The spelling of 430166044 in words is "four hundred thirty million, one hundred sixty-six thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4774 9548 45053 90106 180212 315371 495583 630742 991166 1261484 1396643 1982332 2793286 3469081 5586572 6938162 9776501 13876324 15363073 19553002 30726146 39106004 61452292 107541511 215083022 430166044