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3380992 = 2847281
BaseRepresentation
bin1100111001011100000000
320100202211221
430321130000
51331142432
6200244424
740511056
oct14713400
96322757
103380992
1119aa20a
121170714
13914bb4
146401d6
1546bb97
hex339700

3380992 has 36 divisors (see below), whose sum is σ = 6916896. Its totient is φ = 1648640.

The previous prime is 3380987. The next prime is 3380999. The reversal of 3380992 is 2990833.

It is a super-2 number, since 2×33809922 = 22862213808128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380999) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11892 + ... + 12172.

It is an arithmetic number, because the mean of its divisors is an integer number (192136).

Almost surely, 23380992 is an apocalyptic number.

3380992 is a gapful number since it is divisible by the number (32) 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 3380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458448).

3380992 is an abundant number, since it is smaller than the sum of its proper divisors (3535904).

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

3380992 is an equidigital number, since it uses as much as digits as its factorization.

3380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 3380992 is about 1838.7473997262. The cubic root of 3380992 is about 150.0887178876.

The spelling of 3380992 in words is "three million, three hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 281 376 562 752 1124 1504 2248 3008 4496 6016 8992 12032 13207 17984 26414 35968 52828 71936 105656 211312 422624 845248 1690496 3380992