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36434190 = 23513103907
BaseRepresentation
bin1000101011111…
…1000100001110
32112120001022110
42022333010032
533311343230
63340524450
7621454062
oct212770416
975501273
1036434190
1119625601
1210250726
1377187c0
144ba5aa2
1532ea4b0
hex22bf10e

36434190 has 64 divisors (see below), whose sum is σ = 95187456. Its totient is φ = 8871552.

The previous prime is 36434183. The next prime is 36434219. The reversal of 36434190 is 9143463.

36434190 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 2×364341902 = 2654900401912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 39717 + ... + 40623.

It is an arithmetic number, because the mean of its divisors is an integer number (1487304).

Almost surely, 236434190 is an apocalyptic number.

36434190 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 36434190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47593728).

36434190 is an abundant number, since it is smaller than the sum of its proper divisors (58753266).

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

36434190 is a wasteful number, since it uses less digits than its factorization.

36434190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 36434190 is about 6036.0740552117. The cubic root of 36434190 is about 331.5148900537.

The spelling of 36434190 in words is "thirty-six million, four hundred thirty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 309 390 515 618 907 1030 1339 1545 1814 2678 2721 3090 4017 4535 5442 6695 8034 9070 11791 13390 13605 20085 23582 27210 35373 40170 58955 70746 93421 117910 176865 186842 280263 353730 467105 560526 934210 1214473 1401315 2428946 2802630 3643419 6072365 7286838 12144730 18217095 36434190