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34342140105 = 3357132795453
BaseRepresentation
bin11111111110111100…
…110111100011001001
310021122100210110211000
4133332330313203021
51030313041440410
623435423125213
72324013242310
oct377674674311
9107570713730
1034342140105
1113623274179
1267a5143809
133313b4a280
14193adc1277
15d5ee33dc0
hex7fef378c9

34342140105 has 64 divisors (see below), whose sum is σ = 75141803520. Its totient is φ = 14491623168.

The previous prime is 34342140097. The next prime is 34342140137. The reversal of 34342140105 is 50104124343.

It is a happy number.

34342140105 is a `hidden beast` number, since 3 + 434 + 214 + 0 + 10 + 5 = 666.

It is not a de Polignac number, because 34342140105 - 23 = 34342140097 is a prime.

It is a super-2 number, since 2×343421401052 (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1385442 + ... + 1410011.

It is an arithmetic number, because the mean of its divisors is an integer number (1174090680).

Almost surely, 234342140105 is an apocalyptic number.

34342140105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34342140105 is an abundant number, since it is smaller than the sum of its proper divisors (40799663415).

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

34342140105 is a wasteful number, since it uses less digits than its factorization.

34342140105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795487 (or 2795481 counting only the distinct ones).

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

Adding to 34342140105 its reverse (50104124343), we get a palindrome (84446264448).

The spelling of 34342140105 in words is "thirty-four billion, three hundred forty-two million, one hundred forty thousand, one hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 2795453 8386359 13977265 19568171 25159077 36340889 41931795 58704513 75477231 97840855 109022667 125795385 176113539 181704445 254386223 293522565 327068001 377386155 528340617 545113335 763158669 880567695 981204003 1271931115 1635340005 2289476007 2641703085 3815793345 4906020015 6868428021 11447380035 34342140105