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34382670 = 2357179631
BaseRepresentation
bin1000001100101…
…0001101001110
32101200211011020
42003022031032
532300221140
63224535010
7565151010
oct203121516
971624136
1034382670
1118454233
12b621466
13717aa9a
1447d01b0
1530426d0
hex20ca34e

34382670 has 64 divisors (see below), whose sum is σ = 99864576. Its totient is φ = 7395840.

The previous prime is 34382651. The next prime is 34382681. The reversal of 34382670 is 7628343.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1246 + ... + 8385.

It is an arithmetic number, because the mean of its divisors is an integer number (1560384).

Almost surely, 234382670 is an apocalyptic number.

34382670 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 34382670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49932288).

34382670 is an abundant number, since it is smaller than the sum of its proper divisors (65481906).

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

34382670 is a wasteful number, since it uses less digits than its factorization.

34382670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 34382670 is about 5863.6737630943. The cubic root of 34382670 is about 325.1720430330.

The spelling of 34382670 in words is "thirty-four million, three hundred eighty-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 9631 19262 28893 48155 57786 67417 96310 134834 144465 163727 202251 288930 327454 337085 404502 491181 674170 818635 982362 1011255 1146089 1637270 2022510 2292178 2455905 3438267 4911810 5730445 6876534 11460890 17191335 34382670