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430348116 = 223112311953
BaseRepresentation
bin11001101001101…
…001011101010100
31002222202221122010
4121221221131110
51340132114431
6110411504220
713443620142
oct3151513524
91088687563
10430348116
11200a13a00
12100158070
136b208b73
1441224592
1527baa846
hex19a69754

430348116 has 72 divisors (see below), whose sum is σ = 1108441152. Its totient is φ = 129852800.

The previous prime is 430348063. The next prime is 430348129. The reversal of 430348116 is 611843034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451096 + ... + 452048.

It is an arithmetic number, because the mean of its divisors is an integer number (15395016).

Almost surely, 2430348116 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 430348116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554220576).

430348116 is an abundant number, since it is smaller than the sum of its proper divisors (678093036).

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

430348116 is a wasteful number, since it uses less digits than its factorization.

430348116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 430348116 is about 20744.8334772781. The cubic root of 430348116 is about 754.9878605712.

The spelling of 430348116 in words is "four hundred thirty million, three hundred forty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 311 363 484 622 726 933 953 1244 1452 1866 1906 2859 3421 3732 3812 5718 6842 10263 10483 11436 13684 20526 20966 31449 37631 41052 41932 62898 75262 112893 115313 125796 150524 225786 230626 296383 345939 451572 461252 592766 691878 889149 1185532 1383756 1778298 3260213 3556596 6520426 9780639 13040852 19561278 35862343 39122556 71724686 107587029 143449372 215174058 430348116