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434212220344 = 23743917662391
BaseRepresentation
bin1100101000110010001…
…00001010110110111000
31112111202222220020101211
412110121010022312320
524103231312022334
6531250242452504
743241116655440
oct6243104126670
91474688806354
10434212220344
1115816a529971
12701a0964134
1331c3b59a4c6
1417031c05120
15b465217a64
hex651910adb8

434212220344 has 32 divisors (see below), whose sum is σ = 932574297600. Its totient is φ = 185667043680.

The previous prime is 434212220333. The next prime is 434212220363. The reversal of 434212220344 is 443022212434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8806612 + ... + 8855779.

It is an arithmetic number, because the mean of its divisors is an integer number (29142946800).

Almost surely, 2434212220344 is an apocalyptic number.

It is an amenable number.

434212220344 is an abundant number, since it is smaller than the sum of its proper divisors (498362077256).

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

434212220344 is a wasteful number, since it uses less digits than its factorization.

434212220344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17662843 (or 17662839 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 434212220344 its reverse (443022212434), we get a palindrome (877234432778).

The spelling of 434212220344 in words is "four hundred thirty-four billion, two hundred twelve million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 439 878 1756 3073 3512 6146 12292 24584 17662391 35324782 70649564 123636737 141299128 247273474 494546948 989093896 7753789649 15507579298 31015158596 54276527543 62030317192 108553055086 217106110172 434212220344