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3008745 = 345171923
BaseRepresentation
bin1011011110100011101001
312122212020000
423132203221
51232234440
6144253213
734400565
oct13364351
95585200
103008745
111775573
121011209
1381462c
145846a5
153e6730
hex2de8e9

3008745 has 80 divisors (see below), whose sum is σ = 6272640. Its totient is φ = 1368576.

The previous prime is 3008743. The next prime is 3008773. The reversal of 3008745 is 5478003.

It is not a de Polignac number, because 3008745 - 21 = 3008743 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3008741) 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 79 ways as a sum of consecutive naturals, for example, 130804 + ... + 130826.

It is an arithmetic number, because the mean of its divisors is an integer number (78408).

Almost surely, 23008745 is an apocalyptic number.

It is an amenable number.

3008745 is an abundant number, since it is smaller than the sum of its proper divisors (3263895).

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

3008745 is a wasteful number, since it uses less digits than its factorization.

3008745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3008745 is about 1734.5734345942. The cubic root of 3008745 is about 144.3649596661.

It can be divided in two parts, 300 and 8745, that added together give a triangular number (9045 = T134).

The spelling of 3008745 in words is "three million, eight thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 17 19 23 27 45 51 57 69 81 85 95 115 135 153 171 207 255 285 323 345 391 405 437 459 513 621 765 855 969 1035 1173 1311 1377 1539 1615 1863 1955 2185 2295 2565 2907 3105 3519 3933 4845 5865 6555 6885 7429 7695 8721 9315 10557 11799 14535 17595 19665 22287 26163 31671 35397 37145 43605 52785 58995 66861 111435 130815 158355 176985 200583 334305 601749 1002915 3008745