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73349145 = 345612969
BaseRepresentation
bin1000101111100…
…11100000011001
312010000112010000
410113303200121
5122234133040
611140043213
71550312622
oct427634031
9163015100
1073349145
1138449331
1220693509
131227207c
149a54a49
15668d130
hex45f3819

73349145 has 40 divisors (see below), whose sum is σ = 133685640. Its totient is φ = 38465280.

The previous prime is 73349137. The next prime is 73349147. The reversal of 73349145 is 54194337.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 65464281 = 2808^2 + 8091^2 .

It is not a de Polignac number, because 73349145 - 23 = 73349137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73349147) 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, 23221 + ... + 26189.

It is an arithmetic number, because the mean of its divisors is an integer number (3342141).

Almost surely, 273349145 is an apocalyptic number.

It is an amenable number.

73349145 is a deficient number, since it is larger than the sum of its proper divisors (60336495).

73349145 is a wasteful number, since it uses less digits than its factorization.

73349145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3038 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 73349145 is about 8564.4115384538. The cubic root of 73349145 is about 418.5991594531.

The spelling of 73349145 in words is "seventy-three million, three hundred forty-nine thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 305 405 549 915 1647 2745 2969 4941 8235 8907 14845 24705 26721 44535 80163 133605 181109 240489 400815 543327 905545 1202445 1629981 2716635 4889943 8149905 14669829 24449715 73349145