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34050242646 = 2347191580351
BaseRepresentation
bin11111101101100011…
…010111100001010110
310020220000112112210000
4133231203113201112
51024213330231041
623350434512130
72313540200310
oct375543274126
9106800475700
1034050242646
1113493524302
126723435646
133298528494
14191031a7b0
15d444c5bb6
hex7ed8d7856

34050242646 has 80 divisors (see below), whose sum is σ = 91786844160. Its totient is φ = 9216601200.

The previous prime is 34050242641. The next prime is 34050242689. The reversal of 34050242646 is 64624205043.

34050242646 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 0 + 2 + 4 + 2 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34050242646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050242641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 768630 + ... + 811721.

It is an arithmetic number, because the mean of its divisors is an integer number (1147335552).

Almost surely, 234050242646 is an apocalyptic number.

34050242646 is an abundant number, since it is smaller than the sum of its proper divisors (57736601514).

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

34050242646 is a wasteful number, since it uses less digits than its factorization.

34050242646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580391 (or 1580382 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 34050242646 its reverse (64624205043), we get a palindrome (98674447689).

The spelling of 34050242646 in words is "thirty-four billion, fifty million, two hundred forty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 3078 3591 7182 10773 21546 1580351 3160702 4741053 9482106 11062457 14223159 22124914 28446318 30026669 33187371 42669477 60053338 66374742 85338954 90080007 99562113 128008431 180160014 199124226 210186683 256016862 270240021 298686339 420373366 540480042 597372678 630560049 810720063 896059017 1261120098 1621440126 1792118034 1891680147 2432160189 3783360294 4864320378 5675040441 11350080882 17025121323 34050242646