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34826680 = 2357294289
BaseRepresentation
bin1000010011011…
…0100110111000
32102112101020001
42010312212320
532403423210
63242242344
7602010340
oct204664670
972471201
1034826680
1118727889
12b7b63b4
1372a4c05
1448a7d20
1530ce03a
hex21369b8

34826680 has 64 divisors (see below), whose sum is σ = 92664000. Its totient is φ = 11526144.

The previous prime is 34826663. The next prime is 34826741. The reversal of 34826680 is 8662843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5976 + ... + 10264.

It is an arithmetic number, because the mean of its divisors is an integer number (1447875).

Almost surely, 234826680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332000).

34826680 is an abundant number, since it is smaller than the sum of its proper divisors (57837320).

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

34826680 is a wasteful number, since it uses less digits than its factorization.

34826680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 34826680 is about 5901.4133900278. The cubic root of 34826680 is about 326.5657932789.

It can be divided in two parts, 348 and 26680, that added together give a triangular number (27028 = T232).

The spelling of 34826680 in words is "thirty-four million, eight hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 4289 8120 8578 17156 21445 30023 34312 42890 60046 85780 120092 124381 150115 171560 240184 248762 300230 497524 600460 621905 870667 995048 1200920 1243810 1741334 2487620 3482668 4353335 4975240 6965336 8706670 17413340 34826680