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34388190 = 23251812111
BaseRepresentation
bin1000001100101…
…1100011011110
32101201002201200
42003023203132
532300410230
63225020330
7565203054
oct203134336
971632650
1034388190
11184583a1
12b6246a6
137180455
1447d21d4
153044160
hex20cb8de

34388190 has 48 divisors (see below), whose sum is σ = 89945856. Its totient is φ = 9115200.

The previous prime is 34388173. The next prime is 34388257. The reversal of 34388190 is 9188343.

34388190 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-2 number, since 2×343881902 = 2365095222952200, which contains 22 as substring.

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, 15235 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (1873872).

Almost surely, 234388190 is an apocalyptic number.

34388190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34388190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44972928).

34388190 is an abundant number, since it is smaller than the sum of its proper divisors (55557666).

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

34388190 is a wasteful number, since it uses less digits than its factorization.

34388190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34388190 is about 5864.1444388760. The cubic root of 34388190 is about 325.1894437916.

It can be divided in two parts, 3438 and 8190, that added together give a triangular number (11628 = T152).

The spelling of 34388190 in words is "thirty-four million, three hundred eighty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2111 2715 3258 4222 5430 6333 8145 10555 12666 16290 18999 21110 31665 37998 63330 94995 189990 382091 764182 1146273 1910455 2292546 3438819 3820910 5731365 6877638 11462730 17194095 34388190