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430320044 = 227112157809
BaseRepresentation
bin11001101001100…
…010100110101100
31002222201112010102
4121221202212230
51340130220134
6110411130232
713443442250
oct3151424654
91088645112
10430320044
112009a4900
12100143978
136b1c915b
1441218260
1527ba237e
hex19a629ac

430320044 has 72 divisors (see below), whose sum is σ = 953195040. Its totient is φ = 166383360.

The previous prime is 430320043. The next prime is 430320053. The reversal of 430320044 is 440023034.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 430319998 and 430320025.

It is not an unprimeable number, because it can be changed into a prime (430320043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531512 + ... + 532320.

It is an arithmetic number, because the mean of its divisors is an integer number (13238820).

Almost surely, 2430320044 is an apocalyptic number.

430320044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430320044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476597520).

430320044 is an abundant number, since it is smaller than the sum of its proper divisors (522874996).

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

430320044 is a wasteful number, since it uses less digits than its factorization.

430320044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 430320044 is about 20744.1568640425. The cubic root of 430320044 is about 754.9714440320.

Adding to 430320044 its reverse (440023034), we get a palindrome (870343078).

The spelling of 430320044 in words is "four hundred thirty million, three hundred twenty thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 157 242 308 314 484 628 809 847 1099 1618 1694 1727 2198 3236 3388 3454 4396 5663 6908 8899 11326 12089 17798 18997 22652 24178 35596 37994 48356 62293 75988 97889 124586 127013 132979 195778 249172 254026 265958 391556 508052 531916 685223 889091 1370446 1397143 1778182 2740892 2794286 3556364 5588572 9780001 15368573 19560002 30737146 39120004 61474292 107580011 215160022 430320044