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34825000 = 23557199
BaseRepresentation
bin1000010011011…
…0001100101000
32102112021220211
42010312030220
532403400000
63242230504
7602002420
oct204661450
972467824
1034825000
11187265a1
12b7b5434
1372a4212
1448a7480
1530cd7ba
hex2136328

34825000 has 96 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 11880000.

The previous prime is 34824991. The next prime is 34825033. The reversal of 34825000 is 52843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174901 + ... + 175099.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 234825000 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 34825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

34825000 is an abundant number, since it is smaller than the sum of its proper divisors (58919000).

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

34825000 is an equidigital number, since it uses as much as digits as its factorization.

34825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 34825000 is about 5901.2710495282. The cubic root of 34825000 is about 326.5605421385.

Adding to 34825000 its reverse (52843), we get a palindrome (34877843).

The spelling of 34825000 in words is "thirty-four million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 199 200 250 280 350 398 500 625 700 796 875 995 1000 1250 1393 1400 1592 1750 1990 2500 2786 3125 3500 3980 4375 4975 5000 5572 6250 6965 7000 7960 8750 9950 11144 12500 13930 17500 19900 21875 24875 25000 27860 34825 35000 39800 43750 49750 55720 69650 87500 99500 124375 139300 174125 175000 199000 248750 278600 348250 497500 621875 696500 870625 995000 1243750 1393000 1741250 2487500 3482500 4353125 4975000 6965000 8706250 17412500 34825000