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36345981 = 373121801
BaseRepresentation
bin1000101010100…
…1100001111101
32112101120022110
42022221201331
533301032411
63335004233
7620635650
oct212514175
975346273
1036345981
1119575301
1210209679
1376b75c9
144b81897
1532ce2a6
hex22a987d

36345981 has 24 divisors (see below), whose sum is σ = 57260352. Its totient is φ = 20088000.

The previous prime is 36345977. The next prime is 36345989. The reversal of 36345981 is 18954363.

36345981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36345981 - 22 = 36345977 is a prime.

It is a super-2 number, since 2×363459812 = 2642060669704722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36345989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19281 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (2385848).

Almost surely, 236345981 is an apocalyptic number.

36345981 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

36345981 is a deficient number, since it is larger than the sum of its proper divisors (20914371).

36345981 is a wasteful number, since it uses less digits than its factorization.

36345981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1842 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 36345981 is about 6028.7628084044. The cubic root of 36345981 is about 331.2471358006.

The spelling of 36345981 in words is "thirty-six million, three hundred forty-five thousand, nine hundred eighty-one".

Divisors: 1 3 7 21 31 93 217 651 961 1801 2883 5403 6727 12607 20181 37821 55831 167493 390817 1172451 1730761 5192283 12115327 36345981