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36934993 = 1921011013
BaseRepresentation
bin1000110011100…
…1010101010001
32120111111021201
42030321111101
533423404433
63355351201
7625641124
oct214712521
976444251
1036934993
1119937897
1210452501
137862734
144c963bb
153398a7d
hex2339551

36934993 has 12 divisors (see below), whose sum is σ = 39406068. Its totient is φ = 34610400.

The previous prime is 36934969. The next prime is 36935021. The reversal of 36934993 is 39943963.

It can be written as a sum of positive squares in 2 ways, for example, as 15618304 + 21316689 = 3952^2 + 4617^2 .

It is not a de Polignac number, because 36934993 - 225 = 3380561 is a prime.

It is a super-3 number, since 3×369349933 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36934393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35955 + ... + 36967.

It is an arithmetic number, because the mean of its divisors is an integer number (3283839).

Almost surely, 236934993 is an apocalyptic number.

It is an amenable number.

36934993 is a deficient number, since it is larger than the sum of its proper divisors (2471075).

36934993 is a wasteful number, since it uses less digits than its factorization.

36934993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1133 counting only the distinct ones).

The product of its digits is 472392, while the sum is 46.

The square root of 36934993 is about 6077.4166386714. The cubic root of 36934993 is about 333.0269196405.

The spelling of 36934993 in words is "thirty-six million, nine hundred thirty-four thousand, nine hundred ninety-three".

Divisors: 1 19 101 361 1013 1919 19247 36461 102313 365693 1943947 36934993