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34855380 = 2233579221
BaseRepresentation
bin1000010011110…
…1100111010100
32102120211121000
42010331213110
532410333010
63243023300
7602160120
oct204754724
972524530
1034855380
11187473aa
12b80ab30
1372b4cb1
1448b4580
1530d77c0
hex213d9d4

34855380 has 96 divisors (see below), whose sum is σ = 123943680. Its totient is φ = 7966080.

The previous prime is 34855363. The next prime is 34855411. The reversal of 34855380 is 8355843.

34855380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×348553803 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 831 + ... + 8390.

It is an arithmetic number, because the mean of its divisors is an integer number (1291080).

Almost surely, 234855380 is an apocalyptic number.

34855380 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 34855380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61971840).

34855380 is an abundant number, since it is smaller than the sum of its proper divisors (89088300).

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

34855380 is a wasteful number, since it uses less digits than its factorization.

34855380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 34855380 is about 5903.8445101476. The cubic root of 34855380 is about 326.6554741873.

The spelling of 34855380 in words is "thirty-four million, eight hundred fifty-five 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 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 9221 18442 27663 36884 46105 55326 64547 82989 92210 110652 129094 138315 165978 184420 193641 248967 258188 276630 322735 331956 387282 414945 497934 553260 580923 645470 774564 829890 968205 995868 1161846 1244835 1290940 1659780 1742769 1936410 2323692 2489670 2904615 3485538 3872820 4979340 5809230 6971076 8713845 11618460 17427690 34855380