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3029808 = 243174779
BaseRepresentation
bin1011100011101100110000
312200221010010
423203230300
51233423213
6144534520
734516155
oct13435460
95627103
103029808
11178a381
121021440
138210b2
1458c22c
153ecac3
hex2e3b30

3029808 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 918528.

The previous prime is 3029801. The next prime is 3029837. The reversal of 3029808 is 8089203.

3029808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029801) 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, 38313 + ... + 38391.

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

Almost surely, 23029808 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 3029808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

3029808 is an abundant number, since it is smaller than the sum of its proper divisors (5541072).

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

3029808 is a wasteful number, since it uses less digits than its factorization.

3029808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3029808 is about 1740.6343671202. The cubic root of 3029808 is about 144.7010567108.

The spelling of 3029808 in words is "three million, twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 47 48 51 68 79 94 102 136 141 158 188 204 237 272 282 316 376 408 474 564 632 752 799 816 948 1128 1264 1343 1598 1896 2256 2397 2686 3196 3713 3792 4029 4794 5372 6392 7426 8058 9588 10744 11139 12784 14852 16116 19176 21488 22278 29704 32232 38352 44556 59408 63121 64464 89112 126242 178224 189363 252484 378726 504968 757452 1009936 1514904 3029808