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34367041040 = 2451107138803
BaseRepresentation
bin100000000000011011…
…110110111000010000
310021201002122120110212
4200000123312320100
51030340430303130
623442112543252
72324435012633
oct400033667020
9107632576425
1034367041040
1113636331662
1267b1551b28
133319058357
141940423c1a
15d62201e95
hex8006f6e10

34367041040 has 40 divisors (see below), whose sum is σ = 79912647168. Its totient is φ = 13745220480.

The previous prime is 34367041019. The next prime is 34367041057. The reversal of 34367041040 is 4014076343.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34367040988 and 34367041006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866279 + ... + 905081.

Almost surely, 234367041040 is an apocalyptic number.

It is an amenable number.

34367041040 is an abundant number, since it is smaller than the sum of its proper divisors (45545606128).

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

34367041040 is a wasteful number, since it uses less digits than its factorization.

34367041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49887 (or 49881 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 34367041040 in words is "thirty-four billion, three hundred sixty-seven million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11071 22142 38803 44284 55355 77606 88568 110710 155212 177136 194015 221420 310424 388030 442840 620848 776060 885680 1552120 3104240 429588013 859176026 1718352052 2147940065 3436704104 4295880130 6873408208 8591760260 17183520520 34367041040