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36686034 = 23471117173
BaseRepresentation
bin1000101111110…
…0100011010010
32120000211210000
42023330203102
533342423114
63350150430
7623553240
oct213744322
976024700
1036686034
1119787840
1210352416
1377a6318
144c2d790
153349e09
hex22fc8d2

36686034 has 160 divisors (see below), whose sum is σ = 109143936. Its totient is φ = 8916480.

The previous prime is 36686003. The next prime is 36686057. The reversal of 36686034 is 43068663.

36686034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36686034.

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 79 ways as a sum of consecutive naturals, for example, 211972 + ... + 212144.

Almost surely, 236686034 is an apocalyptic number.

36686034 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36686034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54571968).

36686034 is an abundant number, since it is smaller than the sum of its proper divisors (72457902).

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

36686034 is a wasteful number, since it uses less digits than its factorization.

36686034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36686034 is about 6056.8997019928. The cubic root of 36686034 is about 332.2769801121.

The spelling of 36686034 in words is "thirty-six million, six hundred eighty-six thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 81 99 102 119 126 153 154 162 173 187 189 198 231 238 297 306 346 357 374 378 459 462 519 561 567 594 693 714 891 918 1038 1071 1122 1134 1211 1309 1377 1386 1557 1683 1782 1903 2079 2142 2422 2618 2754 2941 3114 3213 3366 3633 3806 3927 4158 4671 5049 5709 5882 6237 6426 7266 7854 8823 9342 9639 10098 10899 11418 11781 12474 13321 14013 15147 17127 17646 19278 20587 21798 23562 26469 26642 28026 30294 32351 32697 34254 35343 39963 41174 51381 52938 61761 64702 65394 70686 79407 79926 97053 98091 102762 106029 119889 123522 154143 158814 185283 194106 196182 212058 226457 238221 239778 291159 308286 359667 370566 452914 476442 555849 582318 679371 719334 873477 1079001 1111698 1358742 1667547 1746954 2038113 2158002 2620431 3335094 4076226 5240862 6114339 12228678 18343017 36686034