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34666380 = 2235571019
BaseRepresentation
bin1000010000111…
…1011110001100
32102020020100000
42010033132030
532333311010
63235004300
7600442110
oct204173614
972206300
1034666380
1118628401
12b739690
137249c68
144865740
15309b7c0
hex210f78c

34666380 has 144 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 7915968.

The previous prime is 34666369. The next prime is 34666381. The reversal of 34666380 is 8366643.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34666381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33511 + ... + 34529.

It is an arithmetic number, because the mean of its divisors is an integer number (866320).

Almost surely, 234666380 is an apocalyptic number.

34666380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34666380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

34666380 is an abundant number, since it is smaller than the sum of its proper divisors (90083700).

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

34666380 is a wasteful number, since it uses less digits than its factorization.

34666380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34666380 is about 5887.8162335453. The cubic root of 34666380 is about 326.0639843295.

The spelling of 34666380 in words is "thirty-four million, six hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1019 1134 1215 1260 1620 1701 1890 2038 2268 2430 2835 3057 3402 3780 4076 4860 5095 5670 6114 6804 7133 8505 9171 10190 11340 12228 14266 15285 17010 18342 20380 21399 27513 28532 30570 34020 35665 36684 42798 45855 55026 61140 64197 71330 82539 85596 91710 106995 110052 128394 137565 142660 165078 183420 192591 213990 247617 256788 275130 320985 330156 385182 412695 427980 495234 550260 577773 641970 770364 825390 962955 990468 1155546 1238085 1283940 1650780 1733319 1925910 2311092 2476170 2888865 3466638 3851820 4952340 5777730 6933276 8666595 11555460 17333190 34666380