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45300321 = 32113783149
BaseRepresentation
bin1010110011001…
…1101001100001
310011020111100200
42230303221201
543044102241
64254535413
71060021623
oct254635141
9104214320
1045300321
1123630890
1213207569
139501231
146032c13
153e9c4b6
hex2b33a61

45300321 has 48 divisors (see below), whose sum is σ = 74692800. Its totient is φ = 26213760.

The previous prime is 45300301. The next prime is 45300323. The reversal of 45300321 is 12300354.

45300321 is a `hidden beast` number, since 45 + 300 + 321 = 666.

45300321 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 45300321 - 211 = 45298273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45300294 and 45300303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45300323) 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 47 ways as a sum of consecutive naturals, for example, 303955 + ... + 304103.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 245300321 is an apocalyptic number.

It is an amenable number.

45300321 is a deficient number, since it is larger than the sum of its proper divisors (29392479).

45300321 is a wasteful number, since it uses less digits than its factorization.

45300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45300321 is about 6730.5513147141. The cubic root of 45300321 is about 356.4788431796.

Adding to 45300321 its reverse (12300354), we get a palindrome (57600675).

The spelling of 45300321 in words is "forty-five million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 37 83 99 111 149 249 333 407 447 747 913 1221 1341 1639 2739 3071 3663 4917 5513 8217 9213 12367 14751 16539 27639 33781 37101 49617 60643 101343 111303 136037 181929 304029 408111 457579 545787 1224333 1372737 4118211 5033369 15100107 45300321