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3409000884 = 2233591015297
BaseRepresentation
bin1100101100110001…
…0011100110110100
322210120122012002000
43023030103212310
523440201012014
61322134415300
7150323013042
oct31314234664
98716565060
103409000884
11149a323903
127b1801530
134243579b3
14244a71392
1514e434509
hexcb3139b4

3409000884 has 96 divisors (see below), whose sum is σ = 9078652800. Its totient is φ = 1105804800.

The previous prime is 3409000877. The next prime is 3409000897. The reversal of 3409000884 is 4880009043.

3409000884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34090008842 = 23242574054225562912, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640924 + ... + 646220.

It is an arithmetic number, because the mean of its divisors is an integer number (94569300).

Almost surely, 23409000884 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 3409000884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539326400).

3409000884 is an abundant number, since it is smaller than the sum of its proper divisors (5669651916).

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

3409000884 is a wasteful number, since it uses less digits than its factorization.

3409000884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3409000884 is about 58386.6498782042. The cubic root of 3409000884 is about 1505.0203466674.

The spelling of 3409000884 in words is "three billion, four hundred nine million, eight hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 101 108 118 177 202 236 303 354 404 531 606 708 909 1062 1212 1593 1818 2124 2727 3186 3636 5297 5454 5959 6372 10594 10908 11918 15891 17877 21188 23836 31782 35754 47673 53631 63564 71508 95346 107262 143019 160893 190692 214524 286038 312523 321786 534997 572076 625046 643572 937569 1069994 1250092 1604991 1875138 2139988 2812707 3209982 3750276 4814973 5625414 6419964 8438121 9629946 11250828 14444919 16876242 19259892 28889838 31564823 33752484 57779676 63129646 94694469 126259292 189388938 284083407 378777876 568166814 852250221 1136333628 1704500442 3409000884