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36434240 = 265412777
BaseRepresentation
bin1000101011111…
…1000101000000
32112120001101022
42022333011000
533311343430
63340525012
7621454163
oct212770500
975501338
1036434240
1119625647
1210250768
13771882b
144ba5ada
1532ea4e5
hex22bf140

36434240 has 56 divisors (see below), whose sum is σ = 88907112. Its totient is φ = 14213120.

The previous prime is 36434239. The next prime is 36434273. The reversal of 36434240 is 4243463.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 35617024 = 904^2 + 5968^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11732 + ... + 14508.

It is an arithmetic number, because the mean of its divisors is an integer number (1587627).

Almost surely, 236434240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44453556).

36434240 is an abundant number, since it is smaller than the sum of its proper divisors (52472872).

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

36434240 is a wasteful number, since it uses less digits than its factorization.

36434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 36434240 is about 6036.0781969753. The cubic root of 36434240 is about 331.5150417037.

The spelling of 36434240 in words is "thirty-six million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 2777 3280 5554 6560 11108 13120 13885 22216 27770 44432 55540 88864 111080 113857 177728 222160 227714 444320 455428 569285 888640 910856 1138570 1821712 2277140 3643424 4554280 7286848 9108560 18217120 36434240