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34420410135 = 345372698539
BaseRepresentation
bin100000000011100111…
…011100011100010111
310021211211002000010000
4200003213130130113
51030443111111020
623451300502343
72325653441646
oct400347343427
9107754060100
1034420410135
1113663473651
1268073aa9b3
1333271230b7
14194755735d
15d66c45090
hex8039dc717

34420410135 has 80 divisors (see below), whose sum is σ = 63612410400. Its totient is φ = 17792918784.

The previous prime is 34420410121. The next prime is 34420410163. The reversal of 34420410135 is 53101402443.

It is a happy number.

It is not a de Polignac number, because 34420410135 - 28 = 34420409879 is a prime.

It is a super-2 number, since 2×344204101352 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34420410099 and 34420410108.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4026696 + ... + 4035234.

It is an arithmetic number, because the mean of its divisors is an integer number (795155130).

Almost surely, 234420410135 is an apocalyptic number.

34420410135 is a deficient number, since it is larger than the sum of its proper divisors (29192000265).

34420410135 is a wasteful number, since it uses less digits than its factorization.

34420410135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34420410135 its reverse (53101402443), we get a palindrome (87521812578).

The spelling of 34420410135 in words is "thirty-four billion, four hundred twenty million, four hundred ten thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 269 333 405 555 807 999 1345 1665 2421 2997 4035 4995 7263 8539 9953 12105 14985 21789 25617 29859 36315 42695 49765 76851 89577 108945 128085 149295 230553 268731 315943 384255 447885 691659 806193 947829 1152765 1343655 1579715 2296991 2843487 3458295 4030965 4739145 6890973 8530461 11484955 14217435 20672919 25591383 34454865 42652305 62018757 84988667 103364595 127956915 186056271 254966001 310093785 424943335 764898003 930281355 1274830005 2294694009 3824490015 6884082027 11473470045 34420410135