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434323243356 = 223296752335617
BaseRepresentation
bin1100101000111111010…
…11101100000101011100
31112112001201210210100020
412110133223230011130
524103443222241411
6531305250232140
743243635440622
oct6243753540534
91475051723306
10434323243356
1115821716a122
1270211b85650
1331c585a03b2
1417042865512
15b46ed48606
hex651faec15c

434323243356 has 96 divisors (see below), whose sum is σ = 1066078083840. Its totient is φ = 137428752384.

The previous prime is 434323243283. The next prime is 434323243357. The reversal of 434323243356 is 653342323434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434323243357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12176460 + ... + 12212076.

It is an arithmetic number, because the mean of its divisors is an integer number (11104980040).

Almost surely, 2434323243356 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 434323243356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533039041920).

434323243356 is an abundant number, since it is smaller than the sum of its proper divisors (631754840484).

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

434323243356 is a wasteful number, since it uses less digits than its factorization.

434323243356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36243 (or 36241 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 42.

The spelling of 434323243356 in words is "four hundred thirty-four billion, three hundred twenty-three million, two hundred forty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 523 804 1046 1569 1943 2092 3138 3886 5829 6276 7772 11658 15167 23316 30334 35041 35617 45501 60668 70082 71234 91002 105123 106851 140164 142468 182004 210246 213702 420492 427404 1016189 1032893 2032378 2065786 2386339 3048567 3098679 4064756 4131572 4772678 6097134 6197358 7159017 9545356 12194268 12394716 14318034 18627691 28636068 37255382 55883073 69203831 74510764 111766146 138407662 207611493 223532292 276815324 415222986 540203039 830445972 1080406078 1248055297 1620609117 2160812156 2496110594 3241218234 3744165891 4992221188 6482436468 7488331782 14976663564 36193603613 72387207226 108580810839 144774414452 217161621678 434323243356