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3328560 = 243352367
BaseRepresentation
bin1100101100101000110000
320021002221000
430230220300
51323003220
6155202000
740202154
oct14545060
96232830
103328560
111973884
121146300
138c7081
14629064
1545b390
hex32ca30

3328560 has 160 divisors (see below), whose sum is σ = 12142080. Its totient is φ = 836352.

The previous prime is 3328541. The next prime is 3328561. The reversal of 3328560 is 658233.

It is a super-2 number, since 2×33285602 = 22158623347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3328561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49647 + ... + 49713.

It is an arithmetic number, because the mean of its divisors is an integer number (75888).

Almost surely, 23328560 is an apocalyptic number.

3328560 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 3328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071040).

3328560 is an abundant number, since it is smaller than the sum of its proper divisors (8813520).

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

3328560 is a wasteful number, since it uses less digits than its factorization.

3328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3328560 is about 1824.4341588558. The cubic root of 3328560 is about 149.3088200268.

The spelling of 3328560 in words is "three million, three hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 67 69 72 80 90 92 108 115 120 134 135 138 144 180 184 201 207 216 230 240 268 270 276 335 345 360 368 402 414 432 460 536 540 552 603 621 670 690 720 804 828 920 1005 1035 1072 1080 1104 1206 1242 1340 1380 1541 1608 1656 1809 1840 2010 2070 2160 2412 2484 2680 2760 3015 3082 3105 3216 3312 3618 4020 4140 4623 4824 4968 5360 5520 6030 6164 6210 7236 7705 8040 8280 9045 9246 9648 9936 12060 12328 12420 13869 14472 15410 16080 16560 18090 18492 23115 24120 24656 24840 27738 28944 30820 36180 36984 41607 46230 48240 49680 55476 61640 69345 72360 73968 83214 92460 110952 123280 138690 144720 166428 184920 208035 221904 277380 332856 369840 416070 554760 665712 832140 1109520 1664280 3328560