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3330000 = 24325437
BaseRepresentation
bin1100101100111111010000
320021011220100
430230333100
51323030000
6155212400
740206312
oct14547720
96234810
103330000
111974973
121147100
138c791b
146297b2
1545ba00
hex32cfd0

3330000 has 150 divisors (see below), whose sum is σ = 11960234. Its totient is φ = 864000.

The previous prime is 3329999. The next prime is 3330013. The reversal of 3330000 is 333.

It can be written as a sum of positive squares in 5 ways, for example, as 627264 + 2702736 = 792^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×33300002 = 22177800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89982 + ... + 90018.

Almost surely, 23330000 is an apocalyptic number.

3330000 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 3330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980117).

3330000 is an abundant number, since it is smaller than the sum of its proper divisors (8630234).

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

3330000 is a wasteful number, since it uses less digits than its factorization.

3330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

The square root of 3330000 is about 1824.8287590895. The cubic root of 3330000 is about 149.3303482255.

Adding to 3330000 its reverse (333), we get a palindrome (3330333).

Multiplying 3330000 by its reverse (333), we get a square (1108890000 = 333002).

3330000 divided by its reverse (333) gives a 4-th power (10000 = 104).

The spelling of 3330000 in words is "three million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 37 40 45 48 50 60 72 74 75 80 90 100 111 120 125 144 148 150 180 185 200 222 225 240 250 296 300 333 360 370 375 400 444 450 500 555 592 600 625 666 720 740 750 888 900 925 1000 1110 1125 1200 1250 1332 1480 1500 1665 1776 1800 1850 1875 2000 2220 2250 2500 2664 2775 2960 3000 3330 3600 3700 3750 4440 4500 4625 5000 5328 5550 5625 6000 6660 7400 7500 8325 8880 9000 9250 10000 11100 11250 13320 13875 14800 15000 16650 18000 18500 22200 22500 23125 26640 27750 30000 33300 37000 41625 44400 45000 46250 55500 66600 69375 74000 83250 90000 92500 111000 133200 138750 166500 185000 208125 222000 277500 333000 370000 416250 555000 666000 832500 1110000 1665000 3330000