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3342048 = 253311123
BaseRepresentation
bin1100101111111011100000
320021210102120
430233323200
51323421143
6155344240
740256403
oct14577340
96253376
103342048
111982a26
121152080
13900258
1462dd3a
15460383
hex32fee0

3342048 has 48 divisors (see below), whose sum is σ = 9063936. Its totient is φ = 1077120.

The previous prime is 3342037. The next prime is 3342067. The reversal of 3342048 is 8402433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33420482 = 22338569668608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2415 + ... + 3537.

It is an arithmetic number, because the mean of its divisors is an integer number (188832).

Almost surely, 23342048 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 3342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531968).

3342048 is an abundant number, since it is smaller than the sum of its proper divisors (5721888).

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

3342048 is a wasteful number, since it uses less digits than its factorization.

3342048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3342048 is about 1828.1269102554. The cubic root of 3342048 is about 149.5102247642.

The spelling of 3342048 in words is "three million, three hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1123 1488 2246 2976 3369 4492 6738 8984 13476 17968 26952 34813 35936 53904 69626 104439 107808 139252 208878 278504 417756 557008 835512 1114016 1671024 3342048