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3445000 = 23541353
BaseRepresentation
bin1101001001000100001000
320111000122121
431021010020
51340220000
6201501024
741165506
oct15110410
96430577
103445000
111a43309
1211a1774
13938080
14659676
15480b1a
hex349108

3445000 has 80 divisors (see below), whose sum is σ = 8856540. Its totient is φ = 1248000.

The previous prime is 3444989. The next prime is 3445003. The reversal of 3445000 is 5443.

It can be written as a sum of positive squares in 10 ways, for example, as 438244 + 3006756 = 662^2 + 1734^2 .

It is a sliding number, since 3445000 = 320000 + 3125000 and 1/320000 + 1/3125000 = 0.000003445000.

It is not an unprimeable number, because it can be changed into a prime (3445003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64974 + ... + 65026.

Almost surely, 23445000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428270).

3445000 is an abundant number, since it is smaller than the sum of its proper divisors (5411540).

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

3445000 is a wasteful number, since it uses less digits than its factorization.

3445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3445000 is about 1856.0711193271. The cubic root of 3445000 is about 151.0299488862.

The spelling of 3445000 in words is "three million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 125 130 200 212 250 260 265 325 424 500 520 530 625 650 689 1000 1060 1250 1300 1325 1378 1625 2120 2500 2600 2650 2756 3250 3445 5000 5300 5512 6500 6625 6890 8125 10600 13000 13250 13780 16250 17225 26500 27560 32500 33125 34450 53000 65000 66250 68900 86125 132500 137800 172250 265000 344500 430625 689000 861250 1722500 3445000