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3485000 = 23541741
BaseRepresentation
bin1101010010110101001000
320120001112002
431102311020
51343010000
6202410132
741423231
oct15226510
96501462
103485000
111a70372
121200948
1395033c
1466a088
1548c8d5
hex352d48

3485000 has 80 divisors (see below), whose sum is σ = 8856540. Its totient is φ = 1280000.

The previous prime is 3484997. The next prime is 3485011. The reversal of 3485000 is 5843.

It can be written as a sum of positive squares in 10 ways, for example, as 574564 + 2910436 = 758^2 + 1706^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84980 + ... + 85020.

Almost surely, 23485000 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 3485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428270).

3485000 is an abundant number, since it is smaller than the sum of its proper divisors (5371540).

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

3485000 is a wasteful number, since it uses less digits than its factorization.

3485000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3485000 is about 1866.8154702594. The cubic root of 3485000 is about 151.6122387856.

It can be divided in two parts, 34 and 85000, that multiplied together give a square (2890000 = 17002).

The spelling of 3485000 in words is "three million, four hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 41 50 68 82 85 100 125 136 164 170 200 205 250 328 340 410 425 500 625 680 697 820 850 1000 1025 1250 1394 1640 1700 2050 2125 2500 2788 3400 3485 4100 4250 5000 5125 5576 6970 8200 8500 10250 10625 13940 17000 17425 20500 21250 25625 27880 34850 41000 42500 51250 69700 85000 87125 102500 139400 174250 205000 348500 435625 697000 871250 1742500 3485000