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45304337 = 133171213
BaseRepresentation
bin1010110011010…
…0101000010001
310011020200212102
42230310220101
543044214322
64255010145
71060036421
oct254645021
9104220772
1045304337
1123633901
1213209955
139503000
146034481
153e9d792
hex2b34a11

45304337 has 16 divisors (see below), whose sum is σ = 52007760. Its totient is φ = 39326976.

The previous prime is 45304333. The next prime is 45304397. The reversal of 45304337 is 73340354.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36772096 + 8532241 = 6064^2 + 2921^2 .

It is not a de Polignac number, because 45304337 - 22 = 45304333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45304333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36743 + ... + 37955.

It is an arithmetic number, because the mean of its divisors is an integer number (3250485).

Almost surely, 245304337 is an apocalyptic number.

It is an amenable number.

45304337 is a deficient number, since it is larger than the sum of its proper divisors (6703423).

45304337 is a wasteful number, since it uses less digits than its factorization.

45304337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 45304337 is about 6730.8496491899. The cubic root of 45304337 is about 356.4893771501.

The spelling of 45304337 in words is "forty-five million, three hundred four thousand, three hundred thirty-seven".

Divisors: 1 13 17 169 221 1213 2197 2873 15769 20621 37349 204997 268073 2664961 3484949 45304337