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36434244 = 223721143131
BaseRepresentation
bin1000101011111…
…1000101000100
32112120001101110
42022333011010
533311343434
63340525020
7621454200
oct212770504
975501343
1036434244
1119625650
1210250770
137718832
144ba5b00
1532ea4e9
hex22bf144

36434244 has 144 divisors (see below), whose sum is σ = 111234816. Its totient is φ = 9172800.

The previous prime is 36434239. The next prime is 36434273. The reversal of 36434244 is 44243463.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278059 + ... + 278189.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 236434244 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 36434244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55617408).

36434244 is an abundant number, since it is smaller than the sum of its proper divisors (74800572).

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

36434244 is a wasteful number, since it uses less digits than its factorization.

36434244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 36434244 is about 6036.0785283162. The cubic root of 36434244 is about 331.5150538357.

It can be divided in two parts, 3643 and 4244, that added together give a palindrome (7887).

The spelling of 36434244 in words is "thirty-six million, four hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 49 66 77 84 86 98 129 131 132 147 154 172 196 231 258 262 294 301 308 393 462 473 516 524 539 588 602 786 903 917 924 946 1078 1204 1419 1441 1572 1617 1806 1834 1892 2107 2156 2751 2838 2882 3234 3311 3612 3668 4214 4323 5502 5633 5676 5764 6321 6419 6468 6622 8428 8646 9933 10087 11004 11266 12642 12838 13244 16899 17292 19257 19866 20174 22532 23177 25284 25676 30261 33798 38514 39431 39732 40348 46354 60522 61963 67596 69531 70609 77028 78862 92708 118293 121044 123926 139062 141218 157724 185889 211827 236586 247852 276017 278124 282436 371778 423654 433741 473172 552034 743556 828051 847308 867482 1104068 1301223 1656102 1734964 2602446 3036187 3312204 5204892 6072374 9108561 12144748 18217122 36434244