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34139105 = 57111319359
BaseRepresentation
bin1000001000111…
…0101111100001
32101020110001022
42002032233201
532214422410
63215415225
7563114630
oct202165741
971213038
1034139105
11182a8240
12b524515
1370c3c70
144769517
152ee5455
hex208ebe1

34139105 has 64 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 18558720.

The previous prime is 34139089. The next prime is 34139117. The reversal of 34139105 is 50193143.

It is not a de Polignac number, because 34139105 - 24 = 34139089 is a prime.

It is a super-4 number, since 4×341391054 (a number of 31 digits) contains 4444 as substring.

It is a Curzon number.

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, 94916 + ... + 95274.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 234139105 is an apocalyptic number.

34139105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34139105 is a deficient number, since it is larger than the sum of its proper divisors (23921695).

34139105 is a wasteful number, since it uses less digits than its factorization.

34139105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 34139105 is about 5842.8678745972. The cubic root of 34139105 is about 324.4023889640.

The spelling of 34139105 in words is "thirty-four million, one hundred thirty-nine thousand, one hundred five".

Divisors: 1 5 7 11 13 19 35 55 65 77 91 95 133 143 209 247 359 385 455 665 715 1001 1045 1235 1463 1729 1795 2513 2717 3949 4667 5005 6821 7315 8645 12565 13585 19019 19745 23335 27643 32669 34105 47747 51337 75031 88673 95095 138215 163345 238735 256685 359359 375155 443365 525217 620711 975403 1796795 2626085 3103555 4877015 6827821 34139105