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34376706 = 23271331677
BaseRepresentation
bin1000001100100…
…0110000000010
32101200111222100
42003020300002
532300023311
63224451230
7565124430
oct203106002
971614870
1034376706
111844a801
12b619b16
137178160
1447cbd50
153040a56
hex20c8c02

34376706 has 96 divisors (see below), whose sum is σ = 94768128. Its totient is φ = 8760960.

The previous prime is 34376677. The next prime is 34376717. The reversal of 34376706 is 60767343.

34376706 is nontrivially palindromic in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50440 + ... + 51116.

It is an arithmetic number, because the mean of its divisors is an integer number (987168).

Almost surely, 234376706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34376706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47384064).

34376706 is an abundant number, since it is smaller than the sum of its proper divisors (60391422).

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

34376706 is a wasteful number, since it uses less digits than its factorization.

34376706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 34376706 is about 5863.1651861431. The cubic root of 34376706 is about 325.1532405548.

The spelling of 34376706 in words is "thirty-four million, three hundred seventy-six thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 677 806 819 1209 1302 1354 1638 1953 2031 2418 2821 3627 3906 4062 4739 5642 6093 7254 8463 8801 9478 12186 14217 16926 17602 20987 25389 26403 28434 41974 42651 50778 52806 61607 62961 79209 85302 123214 125922 146909 158418 184821 188883 272831 293818 369642 377766 440727 545662 554463 818493 881454 1108926 1322181 1636986 1909817 2455479 2644362 3819634 4910958 5729451 11458902 17188353 34376706