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34436737040 = 245430459213
BaseRepresentation
bin100000000100100101…
…101110100000010000
310021212221210111102012
4200010211232200100
51031011301041130
623453042442052
72326242302156
oct400445564020
9107787714365
1034436737040
1113671705262
126810963328
13332a61b6a4
1419497a73d6
15d683bc995
hex80496e810

34436737040 has 20 divisors (see below), whose sum is σ = 80065413804. Its totient is φ = 13774694784.

The previous prime is 34436737019. The next prime is 34436737043. The reversal of 34436737040 is 4073763443.

It can be written as a sum of positive squares in 2 ways, for example, as 22085526544 + 12351210496 = 148612^2 + 111136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (34436737043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215229527 + ... + 215229686.

Almost surely, 234436737040 is an apocalyptic number.

It is an amenable number.

34436737040 is an abundant number, since it is smaller than the sum of its proper divisors (45628676764).

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

34436737040 is a wasteful number, since it uses less digits than its factorization.

34436737040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430459226 (or 430459220 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 41.

The spelling of 34436737040 in words is "thirty-four billion, four hundred thirty-six million, seven hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 430459213 860918426 1721836852 2152296065 3443673704 4304592130 6887347408 8609184260 17218368520 34436737040