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3005145 = 3251113467
BaseRepresentation
bin1011011101101011011001
312122200021200
423131223121
51232131040
6144224413
734354233
oct13355331
95580250
103005145
1117728a0
12100b109
13812ac0
14583253
153e5630
hex2ddad9

3005145 has 48 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 1342080.

The previous prime is 3005131. The next prime is 3005147. The reversal of 3005145 is 5415003.

3005145 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 3005145 - 24 = 3005129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3005147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6202 + ... + 6668.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

Almost surely, 23005145 is an apocalyptic number.

It is an amenable number.

3005145 is an abundant number, since it is smaller than the sum of its proper divisors (3127527).

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

3005145 is a wasteful number, since it uses less digits than its factorization.

3005145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3005145 is about 1733.5354048879. The cubic root of 3005145 is about 144.3073585429.

It can be divided in two parts, 300 and 5145, that added together give a palindrome (5445).

The spelling of 3005145 in words is "three million, five thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 467 495 585 715 1287 1401 2145 2335 4203 5137 6071 6435 7005 15411 18213 21015 25685 30355 46233 54639 66781 77055 91065 200343 231165 273195 333905 601029 1001715 3005145