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45320067 = 3413193223
BaseRepresentation
bin1010110011100…
…0011110000011
310011021111110000
42230320132003
543100220232
64255211043
71060133322
oct254703603
9104244400
1045320067
1123644701
1213216a83
13950a210
14603a0b9
153ea327c
hex2b38783

45320067 has 40 divisors (see below), whose sum is σ = 73614464. Its totient is φ = 27620352.

The previous prime is 45320059. The next prime is 45320071. The reversal of 45320067 is 76002354.

It is a happy number.

45320067 is a `hidden beast` number, since 453 + 200 + 6 + 7 = 666.

45320067 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 45320067 - 23 = 45320059 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45320067.

It is not an unprimeable number, because it can be changed into a prime (45320087) 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 39 ways as a sum of consecutive naturals, for example, 203118 + ... + 203340.

Almost surely, 245320067 is an apocalyptic number.

45320067 is a deficient number, since it is larger than the sum of its proper divisors (28294397).

45320067 is a wasteful number, since it uses less digits than its factorization.

45320067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45320067 is about 6732.0180481041. The cubic root of 45320067 is about 356.5306309564.

The spelling of 45320067 in words is "forty-five million, three hundred twenty thousand, sixty-seven".

Divisors: 1 3 9 13 27 39 81 117 193 223 351 579 669 1053 1737 2007 2509 2899 5211 6021 7527 8697 15633 18063 22581 26091 43039 67743 78273 129117 203229 234819 387351 559507 1162053 1678521 3486159 5035563 15106689 45320067