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64306305 = 35577561
BaseRepresentation
bin1111010101001…
…1110010000001
311111000002200000
43311103302001
5112430300210
610214150213
71410410640
oct365236201
9144002600
1064306305
1133332308
1219652369
131042708b
14877d357
1559a3ac0
hex3d53c81

64306305 has 48 divisors (see below), whose sum is σ = 132123264. Its totient is φ = 29393280.

The previous prime is 64306301. The next prime is 64306313. The reversal of 64306305 is 50360346.

64306305 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 64306305 - 22 = 64306301 is a prime.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (64306301) 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, 4725 + ... + 12285.

It is an arithmetic number, because the mean of its divisors is an integer number (2752568).

Almost surely, 264306305 is an apocalyptic number.

It is an amenable number.

64306305 is an abundant number, since it is smaller than the sum of its proper divisors (67816959).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64306305 is an equidigital number, since it uses as much as digits as its factorization.

64306305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7588 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 64306305 is about 8019.1212112051. The cubic root of 64306305 is about 400.6371200729.

The spelling of 64306305 in words is "sixty-four million, three hundred six thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 7561 8505 22683 37805 52927 68049 113415 158781 204147 264635 340245 476343 612441 793905 1020735 1429029 1837323 2381715 3062205 4287087 7145145 9186615 12861261 21435435 64306305