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3349080 = 233357443
BaseRepresentation
bin1100110001101001011000
320022011002000
430301221120
51324132310
6155441000
740316040
oct14615130
96264060
103349080
111988239
121156160
13903507
14632720
154624c0
hex331a58

3349080 has 128 divisors (see below), whose sum is σ = 12787200. Its totient is φ = 763776.

The previous prime is 3349069. The next prime is 3349097. The reversal of 3349080 is 809433.

It is a super-2 number, since 2×33490802 = 22432673692800, which contains 22 as substring.

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

It is a congruent number.

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, 7339 + ... + 7781.

It is an arithmetic number, because the mean of its divisors is an integer number (99900).

Almost surely, 23349080 is an apocalyptic number.

3349080 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 3349080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393600).

3349080 is an abundant number, since it is smaller than the sum of its proper divisors (9438120).

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

3349080 is a wasteful number, since it uses less digits than its factorization.

3349080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3349080 is about 1830.0491796670. The cubic root of 3349080 is about 149.6150127441.

The spelling of 3349080 in words is "three million, three hundred forty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 443 504 540 630 756 840 886 945 1080 1260 1329 1512 1772 1890 2215 2520 2658 3101 3544 3780 3987 4430 5316 6202 6645 7560 7974 8860 9303 10632 11961 12404 13290 15505 15948 17720 18606 19935 23922 24808 26580 27909 31010 31896 37212 39870 46515 47844 53160 55818 59805 62020 74424 79740 83727 93030 95688 111636 119610 124040 139545 159480 167454 186060 223272 239220 279090 334908 372120 418635 478440 558180 669816 837270 1116360 1674540 3349080