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34000670 = 25112389151
BaseRepresentation
bin1000000110110…
…0111100011110
32100222102011002
42001230330132
532201010140
63212430302
7562000214
oct201547436
970872132
1034000670
1118213230
12b478392
137075c52
144730cb4
152eb9415
hex206cf1e

34000670 has 64 divisors (see below), whose sum is σ = 70917120. Its totient is φ = 11616000.

The previous prime is 34000667. The next prime is 34000679. The reversal of 34000670 is 7600043.

34000670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000679) 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, 225095 + ... + 225245.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 234000670 is an apocalyptic number.

34000670 is an abundant number, since it is smaller than the sum of its proper divisors (36916450).

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

34000670 is a wasteful number, since it uses less digits than its factorization.

34000670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 34000670 is about 5831.0093465883. The cubic root of 34000670 is about 323.9633080941.

The spelling of 34000670 in words is "thirty-four million, six hundred seventy", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 23 46 55 89 110 115 151 178 230 253 302 445 506 755 890 979 1265 1510 1661 1958 2047 2530 3322 3473 4094 4895 6946 8305 9790 10235 13439 16610 17365 20470 22517 26878 34730 38203 45034 67195 76406 112585 134390 147829 191015 225170 295658 309097 382030 618194 739145 1478290 1545485 3090970 3400067 6800134 17000335 34000670