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36287340 = 223519139229
BaseRepresentation
bin1000101001101…
…1001101101100
32112021120212120
42022123031230
533242143330
63333432540
7620302665
oct212331554
975246776
1036287340
1119535241
121019b750
1376969cb
144b6836c
1532bbc10
hex229b36c

36287340 has 96 divisors (see below), whose sum is σ = 108192000. Its totient is φ = 9061632.

The previous prime is 36287291. The next prime is 36287357. The reversal of 36287340 is 4378263.

36287340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 158346 + ... + 158574.

It is an arithmetic number, because the mean of its divisors is an integer number (1127000).

Almost surely, 236287340 is an apocalyptic number.

36287340 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 36287340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54096000).

36287340 is an abundant number, since it is smaller than the sum of its proper divisors (71904660).

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

36287340 is a wasteful number, since it uses less digits than its factorization.

36287340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 36287340 is about 6023.8974094850. The cubic root of 36287340 is about 331.0688939997.

The spelling of 36287340 in words is "thirty-six million, two hundred eighty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 139 190 228 229 278 285 380 417 458 556 570 687 695 834 916 1140 1145 1374 1390 1668 2085 2290 2641 2748 2780 3435 4170 4351 4580 5282 6870 7923 8340 8702 10564 13053 13205 13740 15846 17404 21755 26106 26410 31692 31831 39615 43510 52212 52820 63662 65265 79230 87020 95493 127324 130530 158460 159155 190986 261060 318310 381972 477465 604789 636620 954930 1209578 1814367 1909860 2419156 3023945 3628734 6047890 7257468 9071835 12095780 18143670 36287340