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3336080 = 2451117223
BaseRepresentation
bin1100101110011110010000
320021111020112
430232132100
51323223310
6155300452
740233116
oct14563620
96244215
103336080
1119794a0
12114a728
138ca617
1462bab6
1545d705
hex32e790

3336080 has 80 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1136640.

The previous prime is 3336071. The next prime is 3336089. The reversal of 3336080 is 806333.

3336080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3336071) and next prime (3336089).

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

It is a super-2 number, since 2×33360802 = 22258859532800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14849 + ... + 15071.

Almost surely, 23336080 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 3336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3336080 is an abundant number, since it is smaller than the sum of its proper divisors (5663344).

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

3336080 is a wasteful number, since it uses less digits than its factorization.

3336080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3336080 is about 1826.4939091056. The cubic root of 3336080 is about 149.4211767043.

The spelling of 3336080 in words is "three million, three hundred thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 223 272 340 374 440 446 680 748 880 892 935 1115 1360 1496 1784 1870 2230 2453 2992 3568 3740 3791 4460 4906 7480 7582 8920 9812 12265 14960 15164 17840 18955 19624 24530 30328 37910 39248 41701 49060 60656 75820 83402 98120 151640 166804 196240 208505 303280 333608 417010 667216 834020 1668040 3336080