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34780086 = 23211269653
BaseRepresentation
bin1000010010101…
…1001110110110
32102110000022100
42010223032312
532400430321
63241242530
7601424445
oct204531666
972400270
1034780086
11186a5880
12b793446
137289943
144894d5c
1530c0326
hex212b3b6

34780086 has 48 divisors (see below), whose sum is σ = 82639440. Its totient is φ = 10484160.

The previous prime is 34780069. The next prime is 34780099. The reversal of 34780086 is 68008743.

34780086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34780086.

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 23 ways as a sum of consecutive naturals, for example, 52936 + ... + 53588.

It is an arithmetic number, because the mean of its divisors is an integer number (1721655).

Almost surely, 234780086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34780086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319720).

34780086 is an abundant number, since it is smaller than the sum of its proper divisors (47859354).

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

34780086 is a wasteful number, since it uses less digits than its factorization.

34780086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 34780086 is about 5897.4643703883. The cubic root of 34780086 is about 326.4200927474.

The spelling of 34780086 in words is "thirty-four million, seven hundred eighty thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 269 538 653 807 1306 1614 1959 2421 2959 3918 4842 5877 5918 7183 8877 11754 14366 17754 21549 26631 43098 53262 64647 129294 175657 351314 526971 1053942 1580913 1932227 3161826 3864454 5796681 11593362 17390043 34780086