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36434340 = 22335109619
BaseRepresentation
bin1000101011111…
…1000110100100
32112120001112000
42022333012210
533311344330
63340525300
7621454365
oct212770644
975501460
1036434340
1119625728
1210250830
1377188a7
144ba5b6c
1532ea560
hex22bf1a4

36434340 has 96 divisors (see below), whose sum is σ = 114576000. Its totient is φ = 9611136.

The previous prime is 36434339. The next prime is 36434389. The reversal of 36434340 is 4343463.

36434340 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 2×364343402 = 2654922262471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 58551 + ... + 59169.

It is an arithmetic number, because the mean of its divisors is an integer number (1193500).

Almost surely, 236434340 is an apocalyptic number.

36434340 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 36434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57288000).

36434340 is an abundant number, since it is smaller than the sum of its proper divisors (78141660).

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

36434340 is a wasteful number, since it uses less digits than its factorization.

36434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 36434340 is about 6036.0864804938. The cubic root of 36434340 is about 331.5153450033.

The spelling of 36434340 in words is "thirty-six million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 619 654 981 1090 1238 1308 1635 1857 1962 2180 2476 2943 3095 3270 3714 3924 4905 5571 5886 6190 6540 7428 9285 9810 11142 11772 12380 14715 16713 18570 19620 22284 27855 29430 33426 37140 55710 58860 66852 67471 83565 111420 134942 167130 202413 269884 334260 337355 404826 607239 674710 809652 1012065 1214478 1349420 1821717 2024130 2428956 3036195 3643434 4048260 6072390 7286868 9108585 12144780 18217170 36434340