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3375000 = 233356
BaseRepresentation
bin1100110111111110011000
320100110122000
430313332120
51331000000
6200201000
740454436
oct14677630
96313560
103375000
1119a5762
121169160
13912255
1463bd56
1546a000
hex337f98

3375000 has 112 divisors (see below), whose sum is σ = 11718600. Its totient is φ = 900000.

The previous prime is 3374983. The next prime is 3375007. The reversal of 3375000 is 5733.

The cubic root of 3375000 is 150.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×33750002 = 22781250000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 674998 + ... + 675002.

Almost surely, 23375000 is an apocalyptic number.

3375000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859300).

3375000 is an abundant number, since it is smaller than the sum of its proper divisors (8343600).

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

3375000 is an frugal number, since it uses more digits than its factorization.

3375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 3375000 is about 1837.1173070874.

The spelling of 3375000 in words is "three million, three hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 625 675 750 900 1000 1080 1125 1250 1350 1500 1800 1875 2250 2500 2700 3000 3125 3375 3750 4500 5000 5400 5625 6250 6750 7500 9000 9375 11250 12500 13500 15000 15625 16875 18750 22500 25000 27000 28125 31250 33750 37500 45000 46875 56250 62500 67500 75000 84375 93750 112500 125000 135000 140625 168750 187500 225000 281250 337500 375000 421875 562500 675000 843750 1125000 1687500 3375000