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34677443240 = 2351127164761
BaseRepresentation
bin100000010010111011…
…111100101010101000
310022111201201122020122
4200102323330222220
51032004411140430
623533001542412
72335224255416
oct402273745250
9108451648218
1034677443240
1113785570400
1268794a4a08
133368458aab
14196d7442b6
15d7e5b7ee5
hex812efcaa8

34677443240 has 48 divisors (see below), whose sum is σ = 85762201140. Its totient is φ = 12609977600.

The previous prime is 34677443221. The next prime is 34677443249. The reversal of 34677443240 is 4234477643.

It can be written as a sum of positive squares in 2 ways, for example, as 32758828036 + 1918615204 = 180994^2 + 43802^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 34677443191 and 34677443200.

It is not an unprimeable number, because it can be changed into a prime (34677443249) 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 11 ways as a sum of consecutive naturals, for example, 3577541 + ... + 3587220.

Almost surely, 234677443240 is an apocalyptic number.

It is an amenable number.

34677443240 is an abundant number, since it is smaller than the sum of its proper divisors (51084757900).

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

34677443240 is a wasteful number, since it uses less digits than its factorization.

34677443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164794 (or 7164779 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 44.

The spelling of 34677443240 in words is "thirty-four billion, six hundred seventy-seven million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 7164761 14329522 28659044 35823805 57318088 71647610 78812371 143295220 157624742 286590440 315249484 394061855 630498968 788123710 866936081 1576247420 1733872162 3152494840 3467744324 4334680405 6935488648 8669360810 17338721620 34677443240