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434023312002 = 23735932876117
BaseRepresentation
bin1100101000011011100…
…11100010101010000010
31112111021211102200212120
412110031303202222002
524102334431441002
6531215413505110
743233334165320
oct6241563425202
91474254380776
10434023312002
11158082932275
1270149642196
1331c0b3c7917
1417014aacd10
15b45384ecbc
hex650dce2a82

434023312002 has 32 divisors (see below), whose sum is σ = 992329736832. Its totient is φ = 123972104064.

The previous prime is 434023311983. The next prime is 434023312013. The reversal of 434023312002 is 200213320434.

It is a super-2 number, since 2×4340233120022 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1287153 + ... + 1588964.

It is an arithmetic number, because the mean of its divisors is an integer number (31010304276).

Almost surely, 2434023312002 is an apocalyptic number.

434023312002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

434023312002 is an abundant number, since it is smaller than the sum of its proper divisors (558306424830).

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

434023312002 is a wasteful number, since it uses less digits than its factorization.

434023312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879722.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 434023312002 its reverse (200213320434), we get a palindrome (634236632436).

The spelling of 434023312002 in words is "four hundred thirty-four billion, twenty-three million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 7 14 21 42 3593 7186 10779 21558 25151 50302 75453 150906 2876117 5752234 8628351 17256702 20132819 40265638 60398457 120796914 10333888381 20667776762 31001665143 62003330286 72337218667 144674437334 217011656001 434023312002