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34285545 = 335727173
BaseRepresentation
bin1000001011001…
…0011111101001
32101111212221000
42002302133221
532234114140
63222505213
7564264600
oct202623751
971455830
1034285545
1118398268
12b595209
137145808
1447a6a37
153023a30
hex20b27e9

34285545 has 96 divisors (see below), whose sum is σ = 72887040. Its totient is φ = 15240960.

The previous prime is 34285529. The next prime is 34285547. The reversal of 34285545 is 54558243.

34285545 is a `hidden beast` number, since 34 + 2 + 85 + 545 = 666.

34285545 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 34285545 - 24 = 34285529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34285547) 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 95 ways as a sum of consecutive naturals, for example, 469629 + ... + 469701.

It is an arithmetic number, because the mean of its divisors is an integer number (759240).

Almost surely, 234285545 is an apocalyptic number.

34285545 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34285545 is an abundant number, since it is smaller than the sum of its proper divisors (38601495).

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

34285545 is a wasteful number, since it uses less digits than its factorization.

34285545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 34285545 is about 5855.3859821535. The cubic root of 34285545 is about 324.8655696495.

The spelling of 34285545 in words is "thirty-four million, two hundred eighty-five thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 71 73 105 135 147 189 213 219 245 315 355 365 441 497 511 639 657 735 945 1065 1095 1323 1491 1533 1917 1971 2205 2485 2555 3195 3285 3479 3577 4473 4599 5183 6615 7455 7665 9585 9855 10437 10731 13419 13797 15549 17395 17885 22365 22995 25915 31311 32193 36281 46647 52185 53655 67095 68985 77745 93933 96579 108843 139941 156555 160965 181405 233235 253967 326529 469665 482895 544215 699705 761901 979587 1269835 1632645 2285703 3809505 4897935 6857109 11428515 34285545