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3342080 = 2857373
BaseRepresentation
bin1100101111111100000000
320021210110202
430233330000
51323421310
6155344332
740256450
oct14577400
96253422
103342080
111982a55
1211520a8
13900281
1462dd60
154603a5
hex32ff00

3342080 has 72 divisors (see below), whose sum is σ = 9173472. Its totient is φ = 1142784.

The previous prime is 3342077. The next prime is 3342091. The reversal of 3342080 is 802433.

3342080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33420802 = 22338997452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8774 + ... + 9146.

Almost surely, 23342080 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 3342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586736).

3342080 is an abundant number, since it is smaller than the sum of its proper divisors (5831392).

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

3342080 is an equidigital number, since it uses as much as digits as its factorization.

3342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3342080 is about 1828.1356623621. The cubic root of 3342080 is about 149.5107019479.

The spelling of 3342080 in words is "three million, three hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 373 448 560 640 746 896 1120 1280 1492 1792 1865 2240 2611 2984 3730 4480 5222 5968 7460 8960 10444 11936 13055 14920 20888 23872 26110 29840 41776 47744 52220 59680 83552 95488 104440 119360 167104 208880 238720 334208 417760 477440 668416 835520 1671040 3342080