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434424413430 = 23357239961733
BaseRepresentation
bin1100101001001011011…
…01100111110011110110
31112112022210011202121000
412110211231213303312
524104200122212210
6531323302504130
743246304405250
oct6244555476366
91475283152530
10434424413430
1115826928a757
127023ba35046
1331c73533647
141705207ccd0
15b478b7eac0
hex6525b67cf6

434424413430 has 128 divisors (see below), whose sum is σ = 1329501081600. Its totient is φ = 98881437312.

The previous prime is 434424413411. The next prime is 434424413443. The reversal of 434424413430 is 34314424434.

434424413430 is a `hidden beast` number, since 43 + 442 + 44 + 134 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29157 + ... + 932576.

It is an arithmetic number, because the mean of its divisors is an integer number (10386727200).

Almost surely, 2434424413430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434424413430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664750540800).

434424413430 is an abundant number, since it is smaller than the sum of its proper divisors (895076668170).

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

434424413430 is a wasteful number, since it uses less digits than its factorization.

434424413430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961995 (or 961989 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 434424413430 its reverse (34314424434), we get a palindrome (468738837864).

The spelling of 434424413430 in words is "four hundred thirty-four billion, four hundred twenty-four million, four hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 239 270 315 378 478 630 717 945 1195 1434 1673 1890 2151 2390 3346 3585 4302 5019 6453 7170 8365 10038 10755 12906 15057 16730 21510 25095 30114 32265 45171 50190 64530 75285 90342 150570 225855 451710 961733 1923466 2885199 4808665 5770398 6732131 8655597 9617330 13464262 14425995 17311194 20196393 25966791 28851990 33660655 40392786 43277985 51933582 60589179 67321310 86555970 100981965 121178358 129833955 181767537 201963930 229854187 259667910 302945895 363535074 459708374 605891790 689562561 908837685 1149270935 1379125122 1608979309 1817675370 2068687683 2298541870 3217958618 3447812805 4137375366 4826937927 6206063049 6895625610 8044896545 9653875854 10343438415 12412126098 14480813781 16089793090 20686876830 24134689635 28961627562 31030315245 43442441343 48269379270 62060630490 72404068905 86884882686 144808137810 217212206715 434424413430