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1034023004343 = 35729149140683
BaseRepresentation
bin11110000110000001001…
…00101110100010110111
310122211222211201010100000
433003000210232202313
5113420134342114333
62111005033322343
7134464024342350
oct17030044564267
93584884633300
101034023004343
113695880356aa
121484982663b3
137667ac78084
1438092cb2d27
151bd6d65b713
hexf0c092e8b7

1034023004343 has 96 divisors (see below), whose sum is σ = 1843523136000. Its totient is φ = 566662594176.

The previous prime is 1034023004303. The next prime is 1034023004351. The reversal of 1034023004343 is 3434003204301.

1034023004343 is a `hidden beast` number, since 10 + 3 + 4 + 0 + 2 + 300 + 4 + 343 = 666.

It is not a de Polignac number, because 1034023004343 - 210 = 1034023003319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034023004303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7279680 + ... + 7420362.

It is an arithmetic number, because the mean of its divisors is an integer number (19203366000).

Almost surely, 21034023004343 is an apocalyptic number.

1034023004343 is a deficient number, since it is larger than the sum of its proper divisors (809500131657).

1034023004343 is a wasteful number, since it uses less digits than its factorization.

1034023004343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140883 (or 140871 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1034023004343 its reverse (3434003204301), we get a palindrome (4468026208644).

The spelling of 1034023004343 in words is "one trillion, thirty-four billion, twenty-three million, four thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 27 29 63 81 87 149 189 203 243 261 447 567 609 783 1043 1341 1701 1827 2349 3129 4023 4321 5481 7047 9387 12069 12963 16443 28161 30247 36207 38889 49329 84483 90741 116667 140683 253449 272223 350001 422049 816669 984781 1050003 1266147 2450007 2954343 3798441 4079807 7350021 8863029 11395323 12239421 20961767 26589087 28558649 34185969 36718263 62885301 79767261 85675947 110154789 146732369 188655903 239301783 257027841 330464367 440197107 565967709 607891243 771083523 991393101 1320591321 1697903127 1823673729 2313250569 3961773963 4255238701 5093709381 5471021187 6939751707 11885321889 12765716103 16413063561 35655965667 38297148309 49239190683 114891444927 147717572049 344674334781 1034023004343