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3326220 = 22325171087
BaseRepresentation
bin1100101100000100001100
320020222201100
430230010030
51322414340
6155143100
740162302
oct14540414
96228640
103326220
111972047
121144a90
138c5ca1
14628272
1545a830
hex32c10c

3326220 has 72 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 834048.

The previous prime is 3326209. The next prime is 3326249. The reversal of 3326220 is 226233.

It is a super-2 number, since 2×33262202 = 22127478976800, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 33 + 312 + 210 + 68 + 216 + 220 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3326193 and 3326202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2517 + ... + 3603.

It is an arithmetic number, because the mean of its divisors is an integer number (148512).

Almost surely, 23326220 is an apocalyptic number.

3326220 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 3326220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

3326220 is an abundant number, since it is smaller than the sum of its proper divisors (7366644).

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

3326220 is a wasteful number, since it uses less digits than its factorization.

3326220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3326220 is about 1823.7927513838. The cubic root of 3326220 is about 149.2738234573.

The spelling of 3326220 in words is "three million, three hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1087 1530 2174 3060 3261 4348 5435 6522 9783 10870 13044 16305 18479 19566 21740 32610 36958 39132 48915 55437 65220 73916 92395 97830 110874 166311 184790 195660 221748 277185 332622 369580 554370 665244 831555 1108740 1663110 3326220