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34420420040 = 2354120988061
BaseRepresentation
bin100000000011100111…
…011110110111001000
310021211211002111200212
4200003213132313020
51030443111420130
623451301020252
72325653512556
oct400347366710
9107754074625
1034420420040
1113663480036
1268073b4688
133327127766
14194755abd6
15d66c47e95
hex8039dedc8

34420420040 has 32 divisors (see below), whose sum is σ = 79334874360. Its totient is φ = 13432358400.

The previous prime is 34420420003. The next prime is 34420420043. The reversal of 34420420040 is 4002402443.

It can be written as a sum of positive squares in 4 ways, for example, as 30059930884 + 4360489156 = 173378^2 + 66034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34420419988 and 34420420015.

It is not an unprimeable number, because it can be changed into a prime (34420420043) by changing a digit.

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, 10492391 + ... + 10495670.

Almost surely, 234420420040 is an apocalyptic number.

It is an amenable number.

34420420040 is an abundant number, since it is smaller than the sum of its proper divisors (44914454320).

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

34420420040 is a wasteful number, since it uses less digits than its factorization.

34420420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20988113 (or 20988109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 34420420040 its reverse (4002402443), we get a palindrome (38422822483).

The spelling of 34420420040 in words is "thirty-four billion, four hundred twenty million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 20988061 41976122 83952244 104940305 167904488 209880610 419761220 839522440 860510501 1721021002 3442042004 4302552505 6884084008 8605105010 17210210020 34420420040