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430424423420 = 22531264734613
BaseRepresentation
bin1100100001101110100…
…10110111101111111100
31112011000000111012211212
412100313102313233330
524023002123022140
6525422333103552
743045214142635
oct6206722675774
91464000435755
10430424423420
111565a6402a92
126b504327bb8
1331786916654
1416b92b2c88c
15b2e290c765
hex64374b7bfc

430424423420 has 72 divisors (see below), whose sum is σ = 935460241632. Its totient is φ = 166353578880.

The previous prime is 430424423383. The next prime is 430424423431. The reversal of 430424423420 is 24324424034.

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, 12418034 + ... + 12452646.

It is an arithmetic number, because the mean of its divisors is an integer number (12992503356).

Almost surely, 2430424423420 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 430424423420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467730120816).

430424423420 is an abundant number, since it is smaller than the sum of its proper divisors (505035818212).

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

430424423420 is a wasteful number, since it uses less digits than its factorization.

430424423420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35331 (or 35298 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 430424423420 its reverse (24324424034), we get a palindrome (454748847454).

The spelling of 430424423420 in words is "four hundred thirty billion, four hundred twenty-four million, four hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 647 961 1294 1922 2588 3235 3844 4805 6470 9610 12940 19220 20057 34613 40114 69226 80228 100285 138452 173065 200570 346130 401140 621767 692260 1073003 1243534 2146006 2487068 3108835 4292012 5365015 6217670 10730030 12435340 21460060 22394611 33263093 44789222 66526186 89578444 111973055 133052372 166315465 223946110 332630930 447892220 665261860 694232941 1388465882 2776931764 3471164705 6942329410 13884658820 21521221171 43042442342 86084884684 107606105855 215212211710 430424423420