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3381588 = 22357271
BaseRepresentation
bin1100111001100101010100
320100210200000
430321211110
51331202323
6200251300
740512600
oct14714524
96323600
103381588
1119aa701
121170b30
13915252
14640500
1546be43
hex339954

3381588 has 108 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 952560.

The previous prime is 3381569. The next prime is 3381613. The reversal of 3381588 is 8851833.

It is a happy number.

3381588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×33815882 = 22870274803488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 47593 + ... + 47663.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

Almost surely, 23381588 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 3381588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3381588 is an abundant number, since it is smaller than the sum of its proper divisors (7075404).

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

3381588 is a wasteful number, since it uses less digits than its factorization.

3381588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 3381588 is about 1838.9094594351. The cubic root of 3381588 is about 150.0975365637.

It can be divided in two parts, 3381 and 588, that added together give a square (3969 = 632).

The spelling of 3381588 in words is "three million, three hundred eighty-one thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 71 81 84 98 108 126 142 147 162 189 196 213 243 252 284 294 324 378 426 441 486 497 567 588 639 756 852 882 972 994 1134 1278 1323 1491 1701 1764 1917 1988 2268 2556 2646 2982 3402 3479 3834 3969 4473 5292 5751 5964 6804 6958 7668 7938 8946 10437 11502 11907 13419 13916 15876 17253 17892 20874 23004 23814 26838 31311 34506 40257 41748 47628 53676 62622 69012 80514 93933 120771 125244 161028 187866 241542 281799 375732 483084 563598 845397 1127196 1690794 3381588