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3345520 = 245193171
BaseRepresentation
bin1100110000110001110000
320021222012011
430300301300
51324024040
6155412304
740302463
oct14606160
96258164
103345520
1119855a2
121154094
139019c9
146312da
154613ea
hex330c70

3345520 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 1209600.

The previous prime is 3345509. The next prime is 3345523. The reversal of 3345520 is 255433.

3345520 = T449 + T450 + ... + T479.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33455202 = 22385008140800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3345491 and 3345500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47085 + ... + 47155.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 23345520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3345520 is an abundant number, since it is smaller than the sum of its proper divisors (5225360).

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

3345520 is a wasteful number, since it uses less digits than its factorization.

3345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 3345520 is about 1829.0762695962. The cubic root of 3345520 is about 149.5619814359.

The spelling of 3345520 in words is "three million, three hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 71 76 80 95 124 142 152 155 190 248 284 304 310 355 380 496 568 589 620 710 760 1136 1178 1240 1349 1420 1520 2201 2356 2480 2698 2840 2945 4402 4712 5396 5680 5890 6745 8804 9424 10792 11005 11780 13490 17608 21584 22010 23560 26980 35216 41819 44020 47120 53960 83638 88040 107920 167276 176080 209095 334552 418190 669104 836380 1672760 3345520