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3314220 = 2235713607
BaseRepresentation
bin1100101001001000101100
320020101020220
430221020230
51322023340
6155011340
740112310
oct14511054
96211226
103314220
111964028
121139b50
138c06a0
14623b40
15456ed0
hex32922c

3314220 has 96 divisors (see below), whose sum is σ = 11440128. Its totient is φ = 698112.

The previous prime is 3314219. The next prime is 3314237. The reversal of 3314220 is 224133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3314220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5157 + ... + 5763.

It is an arithmetic number, because the mean of its divisors is an integer number (119168).

Almost surely, 23314220 is an apocalyptic number.

3314220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1820×1821.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720064).

3314220 is an abundant number, since it is smaller than the sum of its proper divisors (8125908).

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

3314220 is a wasteful number, since it uses less digits than its factorization.

3314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3314220 is about 1820.4999313375. The cubic root of 3314220 is about 149.0940954829.

Adding to 3314220 its reverse (224133), we get a palindrome (3538353).

The spelling of 3314220 in words is "three million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 607 780 910 1092 1214 1365 1820 1821 2428 2730 3035 3642 4249 5460 6070 7284 7891 8498 9105 12140 12747 15782 16996 18210 21245 23673 25494 31564 36420 39455 42490 47346 50988 55237 63735 78910 84980 94692 110474 118365 127470 157820 165711 220948 236730 254940 276185 331422 473460 552370 662844 828555 1104740 1657110 3314220