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34042710 = 23513412129
BaseRepresentation
bin1000000111011…
…1001101010110
32101001112211010
42001313031112
532203331320
63213353050
7562233612
oct201671526
971045733
1034042710
1118241879
12b498786
13708c120
144742342
152ec6ae0
hex2077356

34042710 has 64 divisors (see below), whose sum is σ = 90175680. Its totient is φ = 8171520.

The previous prime is 34042709. The next prime is 34042717. The reversal of 34042710 is 1724043.

34042710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340427102 = 2317812208288200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14926 + ... + 17054.

It is an arithmetic number, because the mean of its divisors is an integer number (1408995).

Almost surely, 234042710 is an apocalyptic number.

34042710 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34042710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45087840).

34042710 is an abundant number, since it is smaller than the sum of its proper divisors (56132970).

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

34042710 is a wasteful number, since it uses less digits than its factorization.

34042710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 34042710 is about 5834.6130977126. The cubic root of 34042710 is about 324.0967741709.

Adding to 34042710 its reverse (1724043), we get a palindrome (35766753).

The spelling of 34042710 in words is "thirty-four million, forty-two thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1599 2129 2665 3198 4258 5330 6387 7995 10645 12774 15990 21290 27677 31935 55354 63870 83031 87289 138385 166062 174578 261867 276770 415155 436445 523734 830310 872890 1134757 1309335 2269514 2618670 3404271 5673785 6808542 11347570 17021355 34042710